5130632708100 has 81 divisors (see below), whose sum is σ = 16081896185173. Its totient is φ = 1368150601440.

The previous prime is 5130632708093. The next prime is 5130632708143. The reversal of 5130632708100 is 18072360315.

The square root of 5130632708100 is 2265090.

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

5130632708100 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 632 + 7 + 0 + 8 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1847027774916 + 3283604933184 = 1359054^2 + 1812072^2 .

It is a super-2 number, since 2×5130632708100² (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67914949 + ... + 67990451.

Almost surely, 2^{5130632708100} is an apocalyptic number.

5130632708100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5130632708100 is the 2265090-th square number.

It is an amenable number.

5130632708100 is an abundant number, since it is smaller than the sum of its proper divisors (10951263477073).

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

5130632708100 is an frugal number, since it uses more digits than its factorization.

5130632708100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151026 (or 75513 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 5130632708100 by its sum of digits (36), we get a square (184702777491600 = 13590540²).

5130632708100 divided by its sum of digits (36) gives a square (142517575225 = 377515²).

The spelling of 5130632708100 in words is "five trillion, one hundred thirty billion, six hundred thirty-two million, seven hundred eight thousand, one hundred".