23970780625 has 45 divisors (see below), whose sum is σ = 32983105309. Its totient is φ = 17402330000.

The previous prime is 23970780607. The next prime is 23970780629. The reversal of 23970780625 is 52608707932.

The square root of 23970780625 is 154825.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1879309201 + 22091471424 = 43351^2 + 148632^2 .

It is not a de Polignac number, because 23970780625 - 2⁵ = 23970780593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23970780629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 42576594 + ... + 42577156.

Almost surely, 2^23970780625 is an apocalyptic number.

23970780625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23970780625 is the 154825-th square number.

23970780625 is the 77413-rd centered octagonal number.

It is an amenable number.

23970780625 is a deficient number, since it is larger than the sum of its proper divisors (9012324684).

23970780625 is an frugal number, since it uses more digits than its factorization.

23970780625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Multiplying 23970780625 by its sum of digits (49), we get a square (1174568250625 = 1083775²).

The spelling of 23970780625 in words is "twenty-three billion, nine hundred seventy million, seven hundred eighty thousand, six hundred twenty-five".