256515752601054 has 96 divisors (see below), whose sum is σ = 589171594752000. Its totient is φ = 80433061031232.

The previous prime is 256515752601023. The next prime is 256515752601061. The reversal of 256515752601054 is 450106257515652.

256515752601054 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 1 + 5 + 7 + 526 + 0 + 105 + 4 = 666.

256515752601054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75605707 + ... + 78925625.

It is an arithmetic number, because the mean of its divisors is an integer number (6137204112000).

Almost surely, 2^{256515752601054} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256515752601054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294585797376000).

256515752601054 is an abundant number, since it is smaller than the sum of its proper divisors (332655842150946).

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

256515752601054 is a wasteful number, since it uses less digits than its factorization.

256515752601054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321542 (or 3321539 counting only the distinct ones).

The product of its (nonzero) digits is 12600000, while the sum is 54.

The spelling of 256515752601054 in words is "two hundred fifty-six trillion, five hundred fifteen billion, seven hundred fifty-two million, six hundred one thousand, fifty-four".