2587674390625 has 63 divisors (see below), whose sum is σ = 3440556526719. Its totient is φ = 1945792800000.

The previous prime is 2587674390619. The next prime is 2587674390667. The reversal of 2587674390625 is 5260934767852.

The square root of 2587674390625 is 1608625.

It is a perfect power (a square), and thus also a powerful number.

2587674390625 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 31 ways, for example, as 1264493503009 + 1323180887616 = 1124497^2 + 1150296^2 .

It is not a de Polignac number, because 2587674390625 - 2¹¹ = 2587674388577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3418327747 + ... + 3418328503.

Almost surely, 2^{2587674390625} is an apocalyptic number.

2587674390625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2587674390625 is the 1608625-th square number.

2587674390625 is the 804313-rd centered octagonal number.

It is an amenable number.

2587674390625 is a deficient number, since it is larger than the sum of its proper divisors (852882136094).

2587674390625 is an frugal number, since it uses more digits than its factorization.

2587674390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 64.

Multiplying 2587674390625 by its sum of digits (64), we get a square (165611161000000 = 12869000²).

The spelling of 2587674390625 in words is "two trillion, five hundred eighty-seven billion, six hundred seventy-four million, three hundred ninety thousand, six hundred twenty-five".