10257165873 has 6 divisors (see below), whose sum is σ = 14815906274. Its totient is φ = 6838110576.

The previous prime is 10257165847. The next prime is 10257165911. The reversal of 10257165873 is 37856175201.

It is a happy number.

10257165873 is a `hidden beast` number, since 1 + 0 + 2 + 57 + 16 + 587 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9788529969 + 468635904 = 98937^2 + 21648^2 .

It is not a de Polignac number, because 10257165873 - 2⁸ = 10257165617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10257165473) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 569842540 + ... + 569842557.

Almost surely, 2^10257165873 is an apocalyptic number.

It is an amenable number.

10257165873 is a deficient number, since it is larger than the sum of its proper divisors (4558740401).

10257165873 is a wasteful number, since it uses less digits than its factorization.

10257165873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139685103 (or 1139685100 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 10257165873 in words is "ten billion, two hundred fifty-seven million, one hundred sixty-five thousand, eight hundred seventy-three".