256501745424153 has 24 divisors (see below), whose sum is σ = 384228601481088. Its totient is φ = 170999488111824.

The previous prime is 256501745424131. The next prime is 256501745424179. The reversal of 256501745424153 is 351424547105652.

256501745424153 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 0 + 1 + 7 + 4 + 542 + 41 + 53 = 666.

It is not a de Polignac number, because 256501745424153 - 2¹³ = 256501745415961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 256501745424153.

It is not an unprimeable number, because it can be changed into a prime (256501745494153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19930375 + ... + 30169907.

It is an arithmetic number, because the mean of its divisors is an integer number (16009525061712).

Almost surely, 2^{256501745424153} is an apocalyptic number.

It is an amenable number.

256501745424153 is a deficient number, since it is larger than the sum of its proper divisors (127726856056935).

256501745424153 is a wasteful number, since it uses less digits than its factorization.

256501745424153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10342635 (or 10342623 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 256501745424153 in words is "two hundred fifty-six trillion, five hundred one billion, seven hundred forty-five million, four hundred twenty-four thousand, one hundred fifty-three".