2252416625 has 32 divisors (see below), whose sum is σ = 2897037312. Its totient is φ = 1747137600.

The previous prime is 2252416609. The next prime is 2252416667. The reversal of 2252416625 is 5266142522.

It is not a de Polignac number, because 2252416625 - 2⁴ = 2252416609 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1696712 + ... + 1698038.

It is an arithmetic number, because the mean of its divisors is an integer number (90532416).

Almost surely, 2^2252416625 is an apocalyptic number.

2252416625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2252416625 is a deficient number, since it is larger than the sum of its proper divisors (644620687).

2252416625 is a wasteful number, since it uses less digits than its factorization.

2252416625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1736 counting only the distinct ones).

The product of its digits is 57600, while the sum is 35.

The square root of 2252416625 is about 47459.6315303859. The cubic root of 2252416625 is about 1310.8396662206.

The spelling of 2252416625 in words is "two billion, two hundred fifty-two million, four hundred sixteen thousand, six hundred twenty-five".