252011040312420 has 36 divisors (see below), whose sum is σ = 764433488948220. Its totient is φ = 67202944083264.

The previous prime is 252011040312401. The next prime is 252011040312439. The reversal of 252011040312420 is 24213040110252.

252011040312420 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 1 + 10 + 403 + 1 + 242 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (252011040312401) and next prime (252011040312439).

It can be written as a sum of positive squares in 2 ways, for example, as 115391036648484 + 136620003663936 = 10742022^2 + 11688456^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700030667355 + ... + 700030667714.

It is an arithmetic number, because the mean of its divisors is an integer number (21234263581895).

Almost surely, 2^{252011040312420} is an apocalyptic number.

252011040312420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252011040312420 is an abundant number, since it is smaller than the sum of its proper divisors (512422448635800).

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

252011040312420 is a wasteful number, since it uses less digits than its factorization.

252011040312420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400061335084 (or 1400061335079 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 252011040312420 its reverse (24213040110252), we get a palindrome (276224080422672).

The spelling of 252011040312420 in words is "two hundred fifty-two trillion, eleven billion, forty million, three hundred twelve thousand, four hundred twenty".