25181006452624 has 135 divisors (see below), whose sum is σ = 54579267340689. Its totient is φ = 11246092556160.

The previous prime is 25181006452573. The next prime is 25181006452643. The reversal of 25181006452624 is 42625460018152.

The square root of 25181006452624 is 5018068.

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., 17144733984400 + 8036272468224 = 4140620^2 + 2834832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13026903562 + ... + 13026905494.

Almost surely, 2^{25181006452624} is an apocalyptic number.

25181006452624 is the 5018068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25181006452624

25181006452624 is an abundant number, since it is smaller than the sum of its proper divisors (29398260888065).

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

25181006452624 is an frugal number, since it uses more digits than its factorization.

25181006452624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 25181006452624 in words is "twenty-five trillion, one hundred eighty-one billion, six million, four hundred fifty-two thousand, six hundred twenty-four".