361585125 has 96 divisors (see below), whose sum is σ = 724239360. Its totient is φ = 172080000.

The previous prime is 361585111. The next prime is 361585141. The reversal of 361585125 is 521585163.

It is a happy number.

361585125 is a `hidden beast` number, since 3 + 61 + 585 + 12 + 5 = 666.

It is not a de Polignac number, because 361585125 - 2¹² = 361581029 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 361585125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 754636 + ... + 755114.

It is an arithmetic number, because the mean of its divisors is an integer number (7544160).

Almost surely, 2^361585125 is an apocalyptic number.

It is an amenable number.

361585125 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

361585125 is a wasteful number, since it uses less digits than its factorization.

361585125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 559 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 361585125 is about 19015.3917919143. The cubic root of 361585125 is about 712.4212285954.

The spelling of 361585125 in words is "three hundred sixty-one million, five hundred eighty-five thousand, one hundred twenty-five".