38124515025 has 45 divisors (see below), whose sum is σ = 70636060011. Its totient is φ = 20328388560.

The previous prime is 38124514991. The next prime is 38124515041. The reversal of 38124515025 is 52051542183.

The square root of 38124515025 is 195255.

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

38124515025 is a `hidden beast` number, since 3 + 81 + 24 + 51 + 502 + 5 = 666.

38124515025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13724825409 + 24399689616 = 117153^2 + 156204^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is a de Polignac number, because none of the positive numbers 2^k-38124515025 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8784306 + ... + 8788644.

Almost surely, 2^38124515025 is an apocalyptic number.

38124515025 is the 195255-th square number.

38124515025 is the 97628-th centered octagonal number.

It is an amenable number.

38124515025 is a deficient number, since it is larger than the sum of its proper divisors (32511544986).

38124515025 is an frugal number, since it uses more digits than its factorization.

38124515025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8700 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Multiplying 38124515025 by its sum of digits (36), we get a square (1372482540900 = 1171530²).

The spelling of 38124515025 in words is "thirty-eight billion, one hundred twenty-four million, five hundred fifteen thousand, twenty-five".