24933494289025 has 135 divisors (see below), whose sum is σ = 36638113039611. Its totient is φ = 16831327645440.

The previous prime is 24933494289013. The next prime is 24933494289127. The reversal of 24933494289025 is 52098249433942.

The square root of 24933494289025 is 4993345.

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

It can be written as a sum of positive squares in 13 ways, for example, as 11306587825729 + 13626906463296 = 3362527^2 + 3691464^2 .

It is not a de Polignac number, because 24933494289025 - 2²⁵ = 24933460734593 is a prime.

It is a Duffinian number.

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 134 ways as a sum of consecutive naturals, for example, 108879887611 + ... + 108879887839.

Almost surely, 2^{24933494289025} is an apocalyptic number.

24933494289025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

24933494289025 is the 4993345-th square number.

24933494289025 is the 2496673-rd centered octagonal number.

It is an amenable number.

24933494289025 is a deficient number, since it is larger than the sum of its proper divisors (11704618750586).

24933494289025 is an frugal number, since it uses more digits than its factorization.

24933494289025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 64.

The spelling of 24933494289025 in words is "twenty-four trillion, nine hundred thirty-three billion, four hundred ninety-four million, two hundred eighty-nine thousand, twenty-five".