5638508100 has 81 divisors (see below), whose sum is σ = 17680654173. Its totient is φ = 1503001440.

The previous prime is 5638508089. The next prime is 5638508119. The reversal of 5638508100 is 18058365.

The square root of 5638508100 is 75090.

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

5638508100 is a `hidden beast` number, since 5 + 638 + 5 + 0 + 8 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2029862916 + 3608645184 = 45054^2 + 60072^2 .

It is a super-2 number, since 2×5638508100² = 63585547187531220000, which contains 22 as substring.

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

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, 2251449 + ... + 2253951.

Almost surely, 2^5638508100 is an apocalyptic number.

5638508100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5638508100 is the 75090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5638508100

5638508100 is an abundant number, since it is smaller than the sum of its proper divisors (12042146073).

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

5638508100 is a wasteful number, since it uses less digits than its factorization.

5638508100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The cubic root of 5638508100 is about 1779.8691251670.

Multiplying 5638508100 by its sum of digits (36), we get a square (202986291600 = 450540²).

5638508100 divided by its sum of digits (36) gives a square (156625225 = 12515²).

The spelling of 5638508100 in words is "five billion, six hundred thirty-eight million, five hundred eight thousand, one hundred".