225752252004 has 72 divisors (see below), whose sum is σ = 580606091520. Its totient is φ = 73939303872.

The previous prime is 225752251937. The next prime is 225752252021. The reversal of 225752252004 is 400252257522.

225752252004 is a `hidden beast` number, since 225 + 7 + 5 + 225 + 200 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 225752252004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4526934 + ... + 4576530.

Almost surely, 2^225752252004 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 225752252004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290303045760).

225752252004 is an abundant number, since it is smaller than the sum of its proper divisors (354853839516).

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

225752252004 is a wasteful number, since it uses less digits than its factorization.

225752252004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51809 (or 51804 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The spelling of 225752252004 in words is "two hundred twenty-five billion, seven hundred fifty-two million, two hundred fifty-two thousand, four".