257007495665 has 8 divisors (see below), whose sum is σ = 309163053480. Its totient is φ = 205103290752.

The previous prime is 257007495649. The next prime is 257007495707. The reversal of 257007495665 is 566594700752.

It can be written as a sum of positive squares in 4 ways, for example, as 140409832369 + 116597663296 = 374713^2 + 341464^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257007495665 - 2⁴ = 257007495649 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257007495665.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62835974 + ... + 62840063.

It is an arithmetic number, because the mean of its divisors is an integer number (38645381685).

Almost surely, 2^257007495665 is an apocalyptic number.

It is an amenable number.

257007495665 is a deficient number, since it is larger than the sum of its proper divisors (52155557815).

257007495665 is a wasteful number, since it uses less digits than its factorization.

257007495665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125676451.

The product of its (nonzero) digits is 15876000, while the sum is 56.

The spelling of 257007495665 in words is "two hundred fifty-seven billion, seven million, four hundred ninety-five thousand, six hundred sixty-five".