2556251544201 has 32 divisors (see below), whose sum is σ = 3662821969920. Its totient is φ = 1581598966464.

The previous prime is 2556251544167. The next prime is 2556251544307. The reversal of 2556251544201 is 1024451526552.

It is not a de Polignac number, because 2556251544201 - 2⁶ = 2556251544137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2556251544401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478005 + ... + 2311058.

It is an arithmetic number, because the mean of its divisors is an integer number (114463186560).

Almost surely, 2^{2556251544201} is an apocalyptic number.

It is an amenable number.

2556251544201 is a deficient number, since it is larger than the sum of its proper divisors (1106570425719).

2556251544201 is a wasteful number, since it uses less digits than its factorization.

2556251544201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789485.

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 2556251544201 in words is "two trillion, five hundred fifty-six billion, two hundred fifty-one million, five hundred forty-four thousand, two hundred one".