257485707584751 has 16 divisors (see below), whose sum is σ = 345541582403424. Its totient is φ = 170543742480384.

The previous prime is 257485707584701. The next prime is 257485707584801. The reversal of 257485707584751 is 157485707584752.

It is an interprime number because it is at equal distance from previous prime (257485707584701) and next prime (257485707584801).

It is a de Polignac number, because none of the positive numbers 2^k-257485707584751 is a prime.

It is a super-2 number, since 2×257485707584751² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257485707584701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28098846 + ... + 36118091.

It is an arithmetic number, because the mean of its divisors is an integer number (21596348900214).

Almost surely, 2^{257485707584751} is an apocalyptic number.

257485707584751 is a deficient number, since it is larger than the sum of its proper divisors (88055874818673).

257485707584751 is a wasteful number, since it uses less digits than its factorization.

257485707584751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64225610.

The product of its (nonzero) digits is 3073280000, while the sum is 75.

Subtracting from 257485707584751 its reverse (157485707584752), we obtain a palindrome (99999999999999).

The spelling of 257485707584751 in words is "two hundred fifty-seven trillion, four hundred eighty-five billion, seven hundred seven million, five hundred eighty-four thousand, seven hundred fifty-one".