585125604 has 72 divisors (see below), whose sum is σ = 1701667968. Its totient is φ = 166060800.

The previous prime is 585125599. The next prime is 585125641. The reversal of 585125604 is 406521585.

585125604 is a `hidden beast` number, since 5 + 85 + 12 + 560 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30364 + ... + 45740.

Almost surely, 2^585125604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 585125604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850833984).

585125604 is an abundant number, since it is smaller than the sum of its proper divisors (1116542364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

585125604 is a wasteful number, since it uses less digits than its factorization.

585125604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15545 (or 15540 counting only the distinct ones).

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

The square root of 585125604 is about 24189.3696486701. The cubic root of 585125604 is about 836.4045129976.

The spelling of 585125604 in words is "five hundred eighty-five million, one hundred twenty-five thousand, six hundred four".