252513526320 has 480 divisors, whose sum is σ = 935219338560. Its totient is φ = 60551331840.

The previous prime is 252513526319. The next prime is 252513526373. The reversal of 252513526320 is 23625315252.

252513526320 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 13 + 5 + 2 + 632 + 0 = 666.

252513526320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252513526320² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356154126 + ... + 356154834.

It is an arithmetic number, because the mean of its divisors is an integer number (1948373622).

Almost surely, 2^252513526320 is an apocalyptic number.

252513526320 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 252513526320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467609669280).

252513526320 is an abundant number, since it is smaller than the sum of its proper divisors (682705812240).

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

252513526320 is a wasteful number, since it uses less digits than its factorization.

252513526320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1156 counting only the distinct ones).

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

The spelling of 252513526320 in words is "two hundred fifty-two billion, five hundred thirteen million, five hundred twenty-six thousand, three hundred twenty".