256516525323345 has 128 divisors (see below), whose sum is σ = 490274505768960. Its totient is φ = 112078845204480.

The previous prime is 256516525323343. The next prime is 256516525323361. The reversal of 256516525323345 is 543323525615652.

It is not a de Polignac number, because 256516525323345 - 2¹ = 256516525323343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256516525323343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1116295621 + ... + 1116525389.

It is an arithmetic number, because the mean of its divisors is an integer number (3830269576320).

Almost surely, 2^{256516525323345} is an apocalyptic number.

It is an amenable number.

256516525323345 is a deficient number, since it is larger than the sum of its proper divisors (233757980445615).

256516525323345 is a wasteful number, since it uses less digits than its factorization.

256516525323345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235135.

The product of its digits is 97200000, while the sum is 57.

The spelling of 256516525323345 in words is "two hundred fifty-six trillion, five hundred sixteen billion, five hundred twenty-five million, three hundred twenty-three thousand, three hundred forty-five".