24819875622025 has 81 divisors (see below), whose sum is σ = 34060880519463. Its totient is φ = 17927863984800.

The previous prime is 24819875622011. The next prime is 24819875622041. The reversal of 24819875622025 is 52022657891842.

The square root of 24819875622025 is 4981955.

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

It can be written as a sum of positive squares in only one way, i.e., 8935155223929 + 15884720398096 = 2989173^2 + 3985564^2 .

It is not a de Polignac number, because 24819875622025 - 2⁵ = 24819875621993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 65487798286 + ... + 65487798664.

Almost surely, 2^{24819875622025} is an apocalyptic number.

24819875622025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

24819875622025 is the 4981955-th square number.

24819875622025 is the 2490978-th centered octagonal number.

It is an amenable number.

24819875622025 is a deficient number, since it is larger than the sum of its proper divisors (9241004897438).

24819875622025 is an frugal number, since it uses more digits than its factorization.

24819875622025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 61.

The spelling of 24819875622025 in words is "twenty-four trillion, eight hundred nineteen billion, eight hundred seventy-five million, six hundred twenty-two thousand, twenty-five".