252004414116 has 48 divisors (see below), whose sum is σ = 723704987264. Its totient is φ = 66462702336.

The previous prime is 252004414099. The next prime is 252004414141. The reversal of 252004414116 is 611414400252.

252004414116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252004414116² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115385545 + ... + 115387728.

Almost surely, 2^252004414116 is an apocalyptic number.

252004414116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

252004414116 is an abundant number, since it is smaller than the sum of its proper divisors (471700573148).

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

252004414116 is a wasteful number, since it uses less digits than its factorization.

252004414116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230773300 (or 230773298 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 252004414116 its reverse (611414400252), we get a palindrome (863418814368).

The spelling of 252004414116 in words is "two hundred fifty-two billion, four million, four hundred fourteen thousand, one hundred sixteen".