252563024 has 80 divisors (see below), whose sum is σ = 573713280. Its totient is φ = 105484800.

The previous prime is 252563021. The next prime is 252563027. The reversal of 252563024 is 420365252.

252563024 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252563021) and next prime (252563027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252563021) 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, 938762 + ... + 939030.

It is an arithmetic number, because the mean of its divisors is an integer number (7171416).

Almost surely, 2^252563024 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 252563024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286856640).

252563024 is an abundant number, since it is smaller than the sum of its proper divisors (321150256).

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

252563024 is a wasteful number, since it uses less digits than its factorization.

252563024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 252563024 is about 15892.2315613636. The cubic root of 252563024 is about 632.1060149026.

The spelling of 252563024 in words is "two hundred fifty-two million, five hundred sixty-three thousand, twenty-four".