252551040 has 512 divisors, whose sum is σ = 1034035200. Its totient is φ = 51093504.

The previous prime is 252551029. The next prime is 252551051. The reversal of 252551040 is 40155252.

It is a happy number.

252551040 is digitally balanced in base 2, because in such base 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 (252551029) and next prime (252551051).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 252551040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5873259 + ... + 5873301.

It is an arithmetic number, because the mean of its divisors is an integer number (2019600).

Almost surely, 2^252551040 is an apocalyptic number.

252551040 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 252551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517017600).

252551040 is an abundant number, since it is smaller than the sum of its proper divisors (781484160).

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

252551040 is a wasteful number, since it uses less digits than its factorization.

252551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 252551040 is about 15891.8545173306. The cubic root of 252551040 is about 632.0960170307.

The spelling of 252551040 in words is "two hundred fifty-two million, five hundred fifty-one thousand, forty".