2556352101521 has 8 divisors (see below), whose sum is σ = 2565644549160. Its totient is φ = 2547067379328.

The previous prime is 2556352101451. The next prime is 2556352101529. The reversal of 2556352101521 is 1251012536552.

2556352101521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 159540330625 + 2396811770896 = 399425^2 + 1548164^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2556352101521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2556352101529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1267946 + ... + 2592371.

It is an arithmetic number, because the mean of its divisors is an integer number (320705568645).

Almost surely, 2^{2556352101521} is an apocalyptic number.

It is an amenable number.

2556352101521 is a deficient number, since it is larger than the sum of its proper divisors (9292447639).

2556352101521 is a wasteful number, since it uses less digits than its factorization.

2556352101521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862723.

The product of its (nonzero) digits is 90000, while the sum is 38.

The spelling of 2556352101521 in words is "two trillion, five hundred fifty-six billion, three hundred fifty-two million, one hundred one thousand, five hundred twenty-one".