2551862477025 has 63 divisors (see below), whose sum is σ = 4744694870409. Its totient is φ = 1360878304320.

The previous prime is 2551862477023. The next prime is 2551862477053. The reversal of 2551862477025 is 5207742681552.

It is a happy number.

The square root of 2551862477025 is 1597455.

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

2551862477025 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 8 + 624 + 7 + 7 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 394171764561 + 2157690712464 = 627831^2 + 1468908^2 .

It is not a de Polignac number, because 2551862477025 - 2¹ = 2551862477023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2551862477023) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 215650509 + ... + 215662341.

Almost surely, 2^{2551862477025} is an apocalyptic number.

2551862477025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2551862477025 is the 1597455-th square number.

2551862477025 is the 798728-th centered octagonal number.

It is an amenable number.

2551862477025 is a deficient number, since it is larger than the sum of its proper divisors (2192832393384).

2551862477025 is an frugal number, since it uses more digits than its factorization.

2551862477025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23694 (or 11841 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 2551862477025 in words is "two trillion, five hundred fifty-one billion, eight hundred sixty-two million, four hundred seventy-seven thousand, twenty-five".