256507735751403 has 16 divisors (see below), whose sum is σ = 359604605327616. Its totient is φ = 162321523226720.

The previous prime is 256507735751387. The next prime is 256507735751417. The reversal of 256507735751403 is 304157537705652.

It is a cyclic number.

It is not a de Polignac number, because 256507735751403 - 2⁴ = 256507735751387 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256507735751203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14188935300 + ... + 14188953377.

It is an arithmetic number, because the mean of its divisors is an integer number (22475287832976).

Almost surely, 2^{256507735751403} is an apocalyptic number.

256507735751403 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

256507735751403 is a deficient number, since it is larger than the sum of its proper divisors (103096869576213).

256507735751403 is a wasteful number, since it uses less digits than its factorization.

256507735751403 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28377888834.

The product of its (nonzero) digits is 92610000, while the sum is 60.

The spelling of 256507735751403 in words is "two hundred fifty-six trillion, five hundred seven billion, seven hundred thirty-five million, seven hundred fifty-one thousand, four hundred three".