252695520 has 576 divisors, whose sum is σ = 1120863744. Its totient is φ = 50319360.

The previous prime is 252695519. The next prime is 252695537. The reversal of 252695520 is 25596252.

252695520 is a `hidden beast` number, since 25 + 26 + 95 + 520 = 666.

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

It is a congruent number.

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, 4767814 + ... + 4767866.

It is an arithmetic number, because the mean of its divisors is an integer number (1945944).

Almost surely, 2^252695520 is an apocalyptic number.

252695520 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 252695520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560431872).

252695520 is an abundant number, since it is smaller than the sum of its proper divisors (868168224).

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

252695520 is a wasteful number, since it uses less digits than its factorization.

252695520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 252695520 is about 15896.3995923605. The cubic root of 252695520 is about 632.2165310502.

The spelling of 252695520 in words is "two hundred fifty-two million, six hundred ninety-five thousand, five hundred twenty".