256516010775145 has 32 divisors (see below), whose sum is σ = 345063852516096. Its totient is φ = 181417476038400.

The previous prime is 256516010775137. The next prime is 256516010775179. The reversal of 256516010775145 is 541577010615652.

It is a happy number.

256516010775145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 256516010775145 - 2³ = 256516010775137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30079629 + ... + 37653898.

It is an arithmetic number, because the mean of its divisors is an integer number (10783245391128).

Almost surely, 2^{256516010775145} is an apocalyptic number.

It is an amenable number.

256516010775145 is a deficient number, since it is larger than the sum of its proper divisors (88547841740951).

256516010775145 is a wasteful number, since it uses less digits than its factorization.

256516010775145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67735441.

The product of its (nonzero) digits is 8820000, while the sum is 55.

The spelling of 256516010775145 in words is "two hundred fifty-six trillion, five hundred sixteen billion, ten million, seven hundred seventy-five thousand, one hundred forty-five".