5626500100 has 81 divisors (see below), whose sum is σ = 13243896477. Its totient is φ = 2073876480.

The previous prime is 5626500079. The next prime is 5626500101. The reversal of 5626500100 is 10056265.

The square root of 5626500100 is 75010.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1877142276 + 3749357824 = 43326^2 + 61232^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5626500101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9751012 + ... + 9751588.

Almost surely, 2^5626500100 is an apocalyptic number.

5626500100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5626500100 is the 75010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5626500100

5626500100 is an abundant number, since it is smaller than the sum of its proper divisors (7617396377).

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

5626500100 is a wasteful number, since it uses less digits than its factorization.

5626500100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The cubic root of 5626500100 is about 1778.6047328791.

Multiplying 5626500100 by its sum of digits (25), we get a square (140662502500 = 375050²).

5626500100 divided by its sum of digits (25) gives a square (225060004 = 15002²).

Adding to 5626500100 its reverse (10056265), we get a palindrome (5636556365).

The spelling of 5626500100 in words is "five billion, six hundred twenty-six million, five hundred thousand, one hundred".