2623136552100 has 81 divisors (see below), whose sum is σ = 8222228092897. Its totient is φ = 699490123680.

The previous prime is 2623136552081. The next prime is 2623136552149. The reversal of 2623136552100 is 12556313262.

The square root of 2623136552100 is 1619610.

It is a perfect power (a square), and thus also a powerful number.

2623136552100 is a `hidden beast` number, since 2 + 6 + 231 + 365 + 52 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 944329158756 + 1678807393344 = 971766^2 + 1295688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48561307 + ... + 48615293.

Almost surely, 2^{2623136552100} is an apocalyptic number.

2623136552100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2623136552100 is the 1619610-th square number.

It is an amenable number.

2623136552100 is an abundant number, since it is smaller than the sum of its proper divisors (5599091540797).

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

2623136552100 is an frugal number, since it uses more digits than its factorization.

2623136552100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107994 (or 53997 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 2623136552100 by its sum of digits (36), we get a square (94432915875600 = 9717660²).

2623136552100 divided by its sum of digits (36) gives a square (72864904225 = 269935²).

The spelling of 2623136552100 in words is "two trillion, six hundred twenty-three billion, one hundred thirty-six million, five hundred fifty-two thousand, one hundred".