38025000025 has 48 divisors (see below), whose sum is σ = 48972334320. Its totient is φ = 29268377600.

The previous prime is 38025000017. The next prime is 38025000031. The reversal of 38025000025 is 52000052083.

It can be written as a sum of positive squares in 24 ways, for example, as 30537213001 + 7487787024 = 174749^2 + 86532^2 .

It is not a de Polignac number, because 38025000025 - 2³ = 38025000017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26986521 + ... + 26987929.

It is an arithmetic number, because the mean of its divisors is an integer number (1020256965).

Almost surely, 2^38025000025 is an apocalyptic number.

38025000025 is the 159217-th pentagonal number.

It is an amenable number.

38025000025 is a deficient number, since it is larger than the sum of its proper divisors (10947334295).

38025000025 is a wasteful number, since it uses less digits than its factorization.

38025000025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Subtracting from 38025000025 its sum of digits (25), we obtain a square (38025000000 = 195000²).

It can be divided in two parts, 380250000 and 25, that multiplied together give a square (9506250000 = 97500²).

The spelling of 38025000025 in words is "thirty-eight billion, twenty-five million, twenty-five", and thus it is an aban number and an uban number.