24063765625 has 63 divisors (see below), whose sum is σ = 32396479851. Its totient is φ = 17870400000.

The previous prime is 24063765623. The next prime is 24063765653. The reversal of 24063765625 is 52656736042.

The square root of 24063765625 is 155125.

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

It can be written as a sum of positive squares in 31 ways, for example, as 10534353769 + 13529411856 = 102637^2 + 116316^2 .

It is not a de Polignac number, because 24063765625 - 2¹ = 24063765623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24063765623) 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, 329640589 + ... + 329640661.

Almost surely, 2^24063765625 is an apocalyptic number.

24063765625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

24063765625 is the 155125-th square number.

24063765625 is the 77563-rd centered octagonal number.

It is an amenable number.

24063765625 is a deficient number, since it is larger than the sum of its proper divisors (8332714226).

24063765625 is an frugal number, since it uses more digits than its factorization.

24063765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 46.

The spelling of 24063765625 in words is "twenty-four billion, sixty-three million, seven hundred sixty-five thousand, six hundred twenty-five".