23585280625 has 15 divisors (see below), whose sum is σ = 29476965133. Its totient is φ = 18865153000.

The previous prime is 23585280613. The next prime is 23585280637. The reversal of 23585280625 is 52608258532.

The square root of 23585280625 is 153575.

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

It is an interprime number because it is at equal distance from previous prime (23585280613) and next prime (23585280637).

It can be written as a sum of positive squares in 2 ways, for example, as 1849086001 + 21736194624 = 43001^2 + 147432^2 .

It is not a de Polignac number, because 23585280625 - 2¹³ = 23585272433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3836304 + ... + 3842446.

Almost surely, 2^23585280625 is an apocalyptic number.

23585280625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23585280625 is the 153575-th square number.

23585280625 is the 76788-th centered octagonal number.

It is an amenable number.

23585280625 is a deficient number, since it is larger than the sum of its proper divisors (5891684508).

23585280625 is an frugal number, since it uses more digits than its factorization.

23585280625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12306 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 46.

The spelling of 23585280625 in words is "twenty-three billion, five hundred eighty-five million, two hundred eighty thousand, six hundred twenty-five".