10257673617 has 6 divisors (see below), whose sum is σ = 14816639682. Its totient is φ = 6838449072.

The previous prime is 10257673609. The next prime is 10257673631. The reversal of 10257673617 is 71637675201.

10257673617 is a `hidden beast` number, since 1 + 0 + 2 + 576 + 73 + 6 + 1 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10225456641 + 32216976 = 101121^2 + 5676^2 .

It is not a de Polignac number, because 10257673617 - 2³ = 10257673609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10257673687) 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, 569870748 + ... + 569870765.

It is an arithmetic number, because the mean of its divisors is an integer number (2469439947).

Almost surely, 2^10257673617 is an apocalyptic number.

It is an amenable number.

10257673617 is a deficient number, since it is larger than the sum of its proper divisors (4558966065).

10257673617 is a wasteful number, since it uses less digits than its factorization.

10257673617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139741519 (or 1139741516 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 10257673617 in words is "ten billion, two hundred fifty-seven million, six hundred seventy-three thousand, six hundred seventeen".