10540759257 has 32 divisors (see below), whose sum is σ = 18786099200. Its totient is φ = 5706273744.

The previous prime is 10540759213. The next prime is 10540759261. The reversal of 10540759257 is 75295704501.

10540759257 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 0 + 7 + 592 + 57 = 666.

10540759257 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 10540759257 - 2¹¹ = 10540757209 is a prime.

It is a super-2 number, since 2×10540759257² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10540759297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1464073 + ... + 1471254.

It is an arithmetic number, because the mean of its divisors is an integer number (587065600).

Almost surely, 2^10540759257 is an apocalyptic number.

It is an amenable number.

10540759257 is a deficient number, since it is larger than the sum of its proper divisors (8245339943).

10540759257 is a wasteful number, since it uses less digits than its factorization.

10540759257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935362 (or 2935356 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 10540759257 in words is "ten billion, five hundred forty million, seven hundred fifty-nine thousand, two hundred fifty-seven".