523253120 has 128 divisors (see below), whose sum is σ = 1370537280. Its totient is φ = 189849600.

The previous prime is 523253117. The next prime is 523253147. The reversal of 523253120 is 21352325.

523253120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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, 507005 + ... + 508035.

Almost surely, 2^523253120 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 523253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685268640).

523253120 is an abundant number, since it is smaller than the sum of its proper divisors (847284160).

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

523253120 is a wasteful number, since it uses less digits than its factorization.

523253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 523253120 is about 22874.7266650336. The cubic root of 523253120 is about 805.8185775930.

The spelling of 523253120 in words is "five hundred twenty-three million, two hundred fifty-three thousand, one hundred twenty".