2251125140625 has 63 divisors (see below), whose sum is σ = 4065495597709. Its totient is φ = 1200300000000.

The previous prime is 2251125140617. The next prime is 2251125140731. The reversal of 2251125140625 is 5260415211522.

The square root of 2251125140625 is 1500375.

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

2251125140625 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 1 + 25 + 1 + 4 + 0 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 637747585281 + 1613377555344 = 798591^2 + 1270188^2 .

It is not a de Polignac number, because 2251125140625 - 2³ = 2251125140617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2251125140625.

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, 562638625 + ... + 562642625.

Almost surely, 2^{2251125140625} is an apocalyptic number.

2251125140625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2251125140625 is the 1500375-th square number.

2251125140625 is the 750188-th centered octagonal number.

It is an amenable number.

2251125140625 is a deficient number, since it is larger than the sum of its proper divisors (1814370457084).

2251125140625 is an frugal number, since it uses more digits than its factorization.

2251125140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8038 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Multiplying 2251125140625 by its sum of digits (36), we get a square (81040505062500 = 9002250²).

The spelling of 2251125140625 in words is "two trillion, two hundred fifty-one billion, one hundred twenty-five million, one hundred forty thousand, six hundred twenty-five".