5269308100 has 243 divisors, whose sum is σ = 14365121589. Its totient is φ = 1672473600.

The previous prime is 5269308089. The next prime is 5269308127. The reversal of 5269308100 is 18039625.

The square root of 5269308100 is 72590.

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 4700199364 + 569108736 = 68558^2 + 23856^2 .

It is a super-2 number, since 2×5269308100² = 55531215705451220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 80 ways as a sum of consecutive naturals, for example, 86382070 + ... + 86382130.

Almost surely, 2^5269308100 is an apocalyptic number.

5269308100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5269308100 is the 72590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5269308100

5269308100 is an abundant number, since it is smaller than the sum of its proper divisors (9095813489).

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

5269308100 is a wasteful number, since it uses less digits than its factorization.

5269308100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The cubic root of 5269308100 is about 1740.1413656229.

The spelling of 5269308100 in words is "five billion, two hundred sixty-nine million, three hundred eight thousand, one hundred".