2551206364625 has 16 divisors (see below), whose sum is σ = 3371194107216. Its totient is φ = 1920908320000.

The previous prime is 2551206364571. The next prime is 2551206364633. The reversal of 2551206364625 is 5264636021552.

It can be written as a sum of positive squares in 8 ways, for example, as 195279145216 + 2355927219409 = 441904^2 + 1534903^2 .

It is not a de Polignac number, because 2551206364625 - 2¹⁴ = 2551206348241 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2551206364625.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600281726 + ... + 600285975.

It is an arithmetic number, because the mean of its divisors is an integer number (210699631701).

Almost surely, 2^{2551206364625} is an apocalyptic number.

2551206364625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2551206364625 is a deficient number, since it is larger than the sum of its proper divisors (819987742591).

2551206364625 is a wasteful number, since it uses less digits than its factorization.

2551206364625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200567733 (or 1200567723 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 47.

The spelling of 2551206364625 in words is "two trillion, five hundred fifty-one billion, two hundred six million, three hundred sixty-four thousand, six hundred twenty-five".