257538520637345 has 16 divisors (see below), whose sum is σ = 310029728456448. Its totient is φ = 205375834319040.

The previous prime is 257538520637339. The next prime is 257538520637353. The reversal of 257538520637345 is 543736025835752.

It is not a de Polignac number, because 257538520637345 - 2¹² = 257538520633249 is a prime.

It is a super-2 number, since 2×257538520637345² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39933269 + ... + 45931938.

It is an arithmetic number, because the mean of its divisors is an integer number (19376858028528).

Almost surely, 2^{257538520637345} is an apocalyptic number.

It is an amenable number.

257538520637345 is a deficient number, since it is larger than the sum of its proper divisors (52491207819103).

257538520637345 is a wasteful number, since it uses less digits than its factorization.

257538520637345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85867120.

The product of its (nonzero) digits is 635040000, while the sum is 65.

The spelling of 257538520637345 in words is "two hundred fifty-seven trillion, five hundred thirty-eight billion, five hundred twenty million, six hundred thirty-seven thousand, three hundred forty-five".