** BP shares rise 2.7% ICAG.L to 365.1p

** Shell SHEL.L , Chevron CVX.N , Exxon MobilXOM.N and TotalEnergies TTEF.PA and Adnoc have "run the numbers" for a takeover of BP, reports Financial Times citing industry sources and advisers

**Vitol could be interested in elements of the business, adds report

** Report says BP is consulting people close to the government about whether PM Keir Starmer seek to defend Co against a takeover.

** UK govt might be receptive to a BP deal if it was part of a broader investment plan by the UAE into UK assets, sources tell FT

** In April 2024, Reuters reported that ADNOC had considered buying BP but the deliberations did not progress beyond preliminary discussions, citing people familiar with the matter.

** Last week, Bloomberg news had reported that Shell was working with advisers to evaluate a potential acquisition of BP.

** BP rated "hold" on avg; median PT is 410p, as per data compiled by LSEG

** As of Thursday's close, stock had fallen almost 10% this year

(Reporting by Raechel Thankam Job in Bengaluru)

((RaechelThankam.Job@thomsonreuters.com))