24933989025 has 225 divisors, whose sum is σ = 52616983705. Its totient is φ = 11672337600.

The previous prime is 24933989011. The next prime is 24933989033. The reversal of 24933989025 is 52098933942.

The square root of 24933989025 is 157905.

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

24933989025 is a `hidden beast` number, since 249 + 3 + 398 + 9 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 342731169 + 24591257856 = 18513^2 + 156816^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 24933989025 - 2¹⁷ = 24933857953 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 859792711 + ... + 859792739.

Almost surely, 2^24933989025 is an apocalyptic number.

24933989025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

24933989025 is the 157905-th square number.

24933989025 is the 78953-rd centered octagonal number.

It is an amenable number.

24933989025 is an abundant number, since it is smaller than the sum of its proper divisors (27682994680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

24933989025 is an frugal number, since it uses more digits than its factorization.

24933989025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 24933989025 in words is "twenty-four billion, nine hundred thirty-three million, nine hundred eighty-nine thousand, twenty-five".