42590125 has 32 divisors (see below), whose sum is σ = 56908800. Its totient is φ = 31752000.

The previous prime is 42590099. The next prime is 42590143. The reversal of 42590125 is 52109524.

It is not a de Polignac number, because 42590125 - 2²⁵ = 9035693 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42590093 and 42590102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112186 + ... + 112564.

It is an arithmetic number, because the mean of its divisors is an integer number (1778400).

Almost surely, 2^42590125 is an apocalyptic number.

It is an amenable number.

42590125 is a deficient number, since it is larger than the sum of its proper divisors (14318675).

42590125 is a wasteful number, since it uses less digits than its factorization.

42590125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 42590125 is about 6526.1110165243. Note that the first 3 decimals coincide. The cubic root of 42590125 is about 349.2231067418.

Adding to 42590125 its reverse (52109524), we get a palindrome (94699649).

The spelling of 42590125 in words is "forty-two million, five hundred ninety thousand, one hundred twenty-five".