256564323041 has 48 divisors (see below), whose sum is σ = 298452773376. Its totient is φ = 219876104448.

The previous prime is 256564323023. The next prime is 256564323053. The reversal of 256564323041 is 140323465652.

It is not a de Polignac number, because 256564323041 - 2¹⁰ = 256564322017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 256564323041.

It is not an unprimeable number, because it can be changed into a prime (256564323641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66586271 + ... + 66590123.

It is an arithmetic number, because the mean of its divisors is an integer number (6217766112).

Almost surely, 2^256564323041 is an apocalyptic number.

It is an amenable number.

256564323041 is a deficient number, since it is larger than the sum of its proper divisors (41888450335).

256564323041 is a wasteful number, since it uses less digits than its factorization.

256564323041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

Adding to 256564323041 its reverse (140323465652), we get a palindrome (396887788693).

The spelling of 256564323041 in words is "two hundred fifty-six billion, five hundred sixty-four million, three hundred twenty-three thousand, forty-one".