252245532000000 has 3024 divisors, whose sum is σ = 1084602779406720. Its totient is φ = 51448320000000.

The previous prime is 252245531999999. The next prime is 252245532000083. The reversal of 252245532000000 is 235542252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 381611999670 + ... + 381612000330.

It is an arithmetic number, because the mean of its divisors is an integer number (358664940280).

Almost surely, 2^{252245532000000} is an apocalyptic number.

252245532000000 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 252245532000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542301389703360).

252245532000000 is an abundant number, since it is smaller than the sum of its proper divisors (832357247406720).

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

252245532000000 is an frugal number, since it uses more digits than its factorization.

252245532000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 252245532000000 its reverse (235542252), we get a palindrome (252245767542252).

The spelling of 252245532000000 in words is "two hundred fifty-two trillion, two hundred forty-five billion, five hundred thirty-two million", and thus it is an aban number.