252061524 has 192 divisors, whose sum is σ = 809088000. Its totient is φ = 66718080.

The previous prime is 252061507. The next prime is 252061561. The reversal of 252061524 is 425160252.

252061524 is a `hidden beast` number, since 2 + 5 + 20 + 615 + 24 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293007 + ... + 293865.

It is an arithmetic number, because the mean of its divisors is an integer number (4214000).

Almost surely, 2^252061524 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 252061524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404544000).

252061524 is an abundant number, since it is smaller than the sum of its proper divisors (557026476).

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

252061524 is a wasteful number, since it uses less digits than its factorization.

252061524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 252061524 is about 15876.4455719786. The cubic root of 252061524 is about 631.6873587189.

The spelling of 252061524 in words is "two hundred fifty-two million, sixty-one thousand, five hundred twenty-four".