252525816 has 64 divisors (see below), whose sum is σ = 703082400. Its totient is φ = 83980800.

The previous prime is 252525811. The next prime is 252525817. The reversal of 252525816 is 618525252.

It is a happy number.

252525816 is a `hidden beast` number, since 2 + 52 + 525 + 81 + 6 = 666.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252525811) 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, 115776 + ... + 117936.

Almost surely, 2^252525816 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 252525816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351541200).

252525816 is an abundant number, since it is smaller than the sum of its proper divisors (450556584).

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

252525816 is a wasteful number, since it uses less digits than its factorization.

252525816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2707 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 252525816 is about 15891.0608834023. The cubic root of 252525816 is about 632.0749724123.

The spelling of 252525816 in words is "two hundred fifty-two million, five hundred twenty-five thousand, eight hundred sixteen".