152513310000 has 200 divisors, whose sum is σ = 493295832304. Its totient is φ = 40590720000.

The previous prime is 152513309929. The next prime is 152513310007. The reversal of 152513310000 is 13315251.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×152513310000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152513310007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16225302 + ... + 16234698.

Almost surely, 2^152513310000 is an apocalyptic number.

152513310000 is a gapful number since it is divisible by the number (10) 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 152513310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246647916152).

152513310000 is an abundant number, since it is smaller than the sum of its proper divisors (340782522304).

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

152513310000 is an equidigital number, since it uses as much as digits as its factorization.

152513310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9969 (or 9948 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

Adding to 152513310000 its reverse (13315251), we get a palindrome (152526625251).

The spelling of 152513310000 in words is "one hundred fifty-two billion, five hundred thirteen million, three hundred ten thousand".