2357665625 has 72 divisors (see below), whose sum is σ = 3486573720. Its totient is φ = 1589280000.

The previous prime is 2357665601. The next prime is 2357665631. The reversal of 2357665625 is 5265667532.

2357665625 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 12 ways, for example, as 2328159001 + 29506624 = 48251^2 + 5432^2 .

It is not a de Polignac number, because 2357665625 - 2²⁴ = 2340888409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2357665625.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13628039 + ... + 13628211.

It is an arithmetic number, because the mean of its divisors is an integer number (48424635).

Almost surely, 2^2357665625 is an apocalyptic number.

2357665625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2357665625 is a deficient number, since it is larger than the sum of its proper divisors (1128908095).

2357665625 is an frugal number, since it uses more digits than its factorization.

2357665625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 274 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 47.

The square root of 2357665625 is about 48555.7990872357. The cubic root of 2357665625 is about 1330.9469249157.

The spelling of 2357665625 in words is "two billion, three hundred fifty-seven million, six hundred sixty-five thousand, six hundred twenty-five".