252563315400000 has 504 divisors, whose sum is σ = 987110273586528. Its totient is φ = 61227465600000.

The previous prime is 252563315399963. The next prime is 252563315400007. The reversal of 252563315400000 is 4513365252.

252563315400000 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 633 + 15 + 4 + 0 + 0 + 0 + 0 + 0 = 666.

252563315400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252563315400007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13422139 + ... + 26177861.

It is an arithmetic number, because the mean of its divisors is an integer number (1958552130132).

Almost surely, 2^{252563315400000} is an apocalyptic number.

252563315400000 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 252563315400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493555136793264).

252563315400000 is an abundant number, since it is smaller than the sum of its proper divisors (734546958186528).

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

252563315400000 is a wasteful number, since it uses less digits than its factorization.

252563315400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12755777 (or 12755744 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 252563315400000 its reverse (4513365252), we get a palindrome (252567828765252).

The spelling of 252563315400000 in words is "two hundred fifty-two trillion, five hundred sixty-three billion, three hundred fifteen million, four hundred thousand".