252517320 has 384 divisors, whose sum is σ = 986618880. Its totient is φ = 55756800.

The previous prime is 252517261. The next prime is 252517339. The reversal of 252517320 is 23715252.

252517320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 8145705 + ... + 8145735.

It is an arithmetic number, because the mean of its divisors is an integer number (2569320).

Almost surely, 2^252517320 is an apocalyptic number.

252517320 is a gapful number since it is divisible by the number (20) 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 252517320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493309440).

252517320 is an abundant number, since it is smaller than the sum of its proper divisors (734101560).

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

252517320 is a wasteful number, since it uses less digits than its factorization.

252517320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 252517320 is about 15890.7935610529. The cubic root of 252517320 is about 632.0678838048.

The spelling of 252517320 in words is "two hundred fifty-two million, five hundred seventeen thousand, three hundred twenty".