256507133064516 has 36 divisors (see below), whose sum is σ = 686533797321372. Its totient is φ = 80472826059264.

The previous prime is 256507133064361. The next prime is 256507133064517. The reversal of 256507133064516 is 615460331705652.

256507133064516 is a `hidden beast` number, since 2 + 5 + 6 + 50 + 7 + 13 + 3 + 0 + 64 + 516 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 154373269487616 + 102133863576900 = 12424704^2 + 10106130^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (256507133064517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209564650585 + ... + 209564651808.

It is an arithmetic number, because the mean of its divisors is an integer number (19070383258927).

Almost surely, 2^{256507133064516} is an apocalyptic number.

It is an amenable number.

256507133064516 is an abundant number, since it is smaller than the sum of its proper divisors (430026664256856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256507133064516 is a wasteful number, since it uses less digits than its factorization.

256507133064516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419129302420 (or 419129302415 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 256507133064516 in words is "two hundred fifty-six trillion, five hundred seven billion, one hundred thirty-three million, sixty-four thousand, five hundred sixteen".