252065520 has 200 divisors, whose sum is σ = 1000706784. Its totient is φ = 57604608.

The previous prime is 252065507. The next prime is 252065551. The reversal of 252065520 is 25560252.

252065520 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 655 + 2 + 0 = 666.

252065520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42582 + ... + 48138.

Almost surely, 2^252065520 is an apocalyptic number.

252065520 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 252065520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500353392).

252065520 is an abundant number, since it is smaller than the sum of its proper divisors (748641264).

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

252065520 is a wasteful number, since it uses less digits than its factorization.

252065520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5589 (or 5574 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 252065520 is about 15876.5714182880. The cubic root of 252065520 is about 631.6906968052.

The spelling of 252065520 in words is "two hundred fifty-two million, sixty-five thousand, five hundred twenty".