2552113420100 has 18 divisors (see below), whose sum is σ = 5538086121834. Its totient is φ = 1020845368000.

The previous prime is 2552113420039. The next prime is 2552113420231. The reversal of 2552113420100 is 10243112552.

It can be written as a sum of positive squares in 3 ways, for example, as 32446096384 + 2519667323716 = 180128^2 + 1587346^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2552113420100.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12760567001 + ... + 12760567200.

It is an arithmetic number, because the mean of its divisors is an integer number (307671451213).

Almost surely, 2^{2552113420100} is an apocalyptic number.

2552113420100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2552113420100 is an abundant number, since it is smaller than the sum of its proper divisors (2985972701734).

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

2552113420100 is a wasteful number, since it uses less digits than its factorization.

2552113420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25521134215 (or 25521134208 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 2552113420100 its reverse (10243112552), we get a palindrome (2562356532652).

The spelling of 2552113420100 in words is "two trillion, five hundred fifty-two billion, one hundred thirteen million, four hundred twenty thousand, one hundred".