252315011460 has 96 divisors (see below), whose sum is σ = 717826862592. Its totient is φ = 66207836160.

The previous prime is 252315011419. The next prime is 252315011461. The reversal of 252315011460 is 64110513252.

252315011460 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 (30).

It is not an unprimeable number, because it can be changed into a prime (252315011461) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1820952 + ... + 1954608.

It is an arithmetic number, because the mean of its divisors is an integer number (7477363152).

Almost surely, 2^252315011460 is an apocalyptic number.

252315011460 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 252315011460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358913431296).

252315011460 is an abundant number, since it is smaller than the sum of its proper divisors (465511851132).

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

252315011460 is a wasteful number, since it uses less digits than its factorization.

252315011460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134173 (or 134171 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 252315011460 in words is "two hundred fifty-two billion, three hundred fifteen million, eleven thousand, four hundred sixty".