25213133453625 has 384 divisors, whose sum is σ = 52602135505920. Its totient is φ = 11514004070400.

The previous prime is 25213133453623. The next prime is 25213133453633. The reversal of 25213133453625 is 52635433131252.

25213133453625 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 3 + 13 + 3 + 4 + 5 + 3 + 625 = 666.

It is not a de Polignac number, because 25213133453625 - 2¹ = 25213133453623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (25213133453623) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8733331932 + ... + 8733334818.

It is an arithmetic number, because the mean of its divisors is an integer number (136984727880).

Almost surely, 2^{25213133453625} is an apocalyptic number.

25213133453625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25213133453625 is an abundant number, since it is smaller than the sum of its proper divisors (27389002052295).

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

25213133453625 is a wasteful number, since it uses less digits than its factorization.

25213133453625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586 (or 3573 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 45.

Adding to 25213133453625 its reverse (52635433131252), we get a palindrome (77848566584877).

The spelling of 25213133453625 in words is "twenty-five trillion, two hundred thirteen billion, one hundred thirty-three million, four hundred fifty-three thousand, six hundred twenty-five".