395585125 has 16 divisors (see below), whose sum is σ = 531668592. Its totient is φ = 292123200.

The previous prime is 395585117. The next prime is 395585159. The reversal of 395585125 is 521585593.

It can be written as a sum of positive squares in 8 ways, for example, as 223293249 + 172291876 = 14943^2 + 13126^2 .

It is not a de Polignac number, because 395585125 - 2³ = 395585117 is a prime.

It is a super-2 number, since 2×395585125² = 312975182242531250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120094 + ... + 123343.

It is an arithmetic number, because the mean of its divisors is an integer number (33229287).

Almost surely, 2^395585125 is an apocalyptic number.

It is an amenable number.

395585125 is a deficient number, since it is larger than the sum of its proper divisors (136083467).

395585125 is a wasteful number, since it uses less digits than its factorization.

395585125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243465 (or 243455 counting only the distinct ones).

The product of its digits is 270000, while the sum is 43.

The square root of 395585125 is about 19889.3218838652. The cubic root of 395585125 is about 734.0855086526.

The spelling of 395585125 in words is "three hundred ninety-five million, five hundred eighty-five thousand, one hundred twenty-five".