523253952 has 112 divisors (see below), whose sum is σ = 1656669280. Its totient is φ = 160994304.

The previous prime is 523253947. The next prime is 523253953. The reversal of 523253952 is 259352325.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (523253953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10818 + ... + 34110.

It is an arithmetic number, because the mean of its divisors is an integer number (14791690).

Almost surely, 2^523253952 is an apocalyptic number.

523253952 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523253952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828334640).

523253952 is an abundant number, since it is smaller than the sum of its proper divisors (1133415328).

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

523253952 is a wasteful number, since it uses less digits than its factorization.

523253952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23327 (or 23311 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The square root of 523253952 is about 22874.7448510360. The cubic root of 523253952 is about 805.8190046908.

The spelling of 523253952 in words is "five hundred twenty-three million, two hundred fifty-three thousand, nine hundred fifty-two".