256650100461521 has 16 divisors (see below), whose sum is σ = 277958101621200. Its totient is φ = 235566132802560.

The previous prime is 256650100461451. The next prime is 256650100461523. The reversal of 256650100461521 is 125164001056652.

It can be written as a sum of positive squares in 8 ways, for example, as 148364848221121 + 108285252240400 = 12180511^2 + 10406020^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-256650100461521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256650100461523) 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, 9343205 + ... + 24507053.

It is an arithmetic number, because the mean of its divisors is an integer number (17372381351325).

Almost surely, 2^{256650100461521} is an apocalyptic number.

It is an amenable number.

256650100461521 is a deficient number, since it is larger than the sum of its proper divisors (21308001159679).

256650100461521 is a wasteful number, since it uses less digits than its factorization.

256650100461521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15171236.

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 256650100461521 in words is "two hundred fifty-six trillion, six hundred fifty billion, one hundred million, four hundred sixty-one thousand, five hundred twenty-one".