252015101200 has 30 divisors (see below), whose sum is σ = 605466281594. Its totient is φ = 100806040320.

The previous prime is 252015101179. The next prime is 252015101209. The reversal of 252015101200 is 2101510252.

252015101200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 27164944 + 251987936256 = 5212^2 + 501984^2 .

It is a super-2 number, since 2×252015101200² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252015101209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 315018477 + ... + 315019276.

Almost surely, 2^252015101200 is an apocalyptic number.

252015101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252015101200 is an abundant number, since it is smaller than the sum of its proper divisors (353451180394).

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

252015101200 is a wasteful number, since it uses less digits than its factorization.

252015101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630037771 (or 630037760 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

Adding to 252015101200 its reverse (2101510252), we get a palindrome (254116611452).

The spelling of 252015101200 in words is "two hundred fifty-two billion, fifteen million, one hundred one thousand, two hundred".