2765805151041 has 27 divisors (see below), whose sum is σ = 4044370492929. Its totient is φ = 1821382054632.

The previous prime is 2765805150991. The next prime is 2765805151049. The reversal of 2765805151041 is 1401515085672.

The square root of 2765805151041 is 1663071.

It is a perfect power (a square), and thus also a powerful number.

2765805151041 is a `hidden beast` number, since 2 + 7 + 6 + 5 + 80 + 51 + 510 + 4 + 1 = 666.

2765805151041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2765805151041 - 2²³ = 2765796762433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2765805151049) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 414101340 + ... + 414108018.

Almost surely, 2^{2765805151041} is an apocalyptic number.

2765805151041 is the 1663071-st square number.

2765805151041 is the 831536-th centered octagonal number.

It is an amenable number.

2765805151041 is a deficient number, since it is larger than the sum of its proper divisors (1278565341888).

2765805151041 is an frugal number, since it uses more digits than its factorization.

2765805151041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13530 (or 6765 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 2765805151041 in words is "two trillion, seven hundred sixty-five billion, eight hundred five million, one hundred fifty-one thousand, forty-one".