5254800100 has 81 divisors (see below), whose sum is σ = 12552832201. Its totient is φ = 1907936800.

The previous prime is 5254800097. The next prime is 5254800107. The reversal of 5254800100 is 10084525.

The square root of 5254800100 is 72490.

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

It can be written as a sum of positive squares in only one way, i.e., 1891728036 + 3363072064 = 43494^2 + 57992^2 .

It is a super-2 number, since 2×5254800100² = 55225848181920020000, which contains 22 as substring.

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 (5254800107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7973571 + ... + 7974229.

Almost surely, 2^5254800100 is an apocalyptic number.

5254800100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5254800100 is the 72490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5254800100

5254800100 is an abundant number, since it is smaller than the sum of its proper divisors (7298032101).

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

5254800100 is a wasteful number, since it uses less digits than its factorization.

5254800100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The cubic root of 5254800100 is about 1738.5428523777.

Multiplying 5254800100 by its sum of digits (25), we get a square (131370002500 = 362450²).

5254800100 divided by its sum of digits (25) gives a square (210192004 = 14498²).

Multiplying 5254800100 by its product of nonzero digits (1600), we get a square (8407680160000 = 2899600²).

Adding to 5254800100 its reverse (10084525), we get a palindrome (5264884625).

The spelling of 5254800100 in words is "five billion, two hundred fifty-four million, eight hundred thousand, one hundred".