509381964100 has 81 divisors (see below), whose sum is σ = 1115155246807. Its totient is φ = 201962800960.

The previous prime is 509381964079. The next prime is 509381964101. The reversal of 509381964100 is 1469183905.

The square root of 509381964100 is 713710.

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

It can be written as a sum of positive squares in 4 ways, for example, as 152026688836 + 357355275264 = 389906^2 + 597792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509381964101) 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, 1063427661 + ... + 1063428139.

Almost surely, 2^509381964100 is an apocalyptic number.

509381964100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

509381964100 is the 713710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509381964100

509381964100 is an abundant number, since it is smaller than the sum of its proper divisors (605773282707).

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

509381964100 is an equidigital number, since it uses as much as digits as its factorization.

509381964100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 509381964100 in words is "five hundred nine billion, three hundred eighty-one million, nine hundred sixty-four thousand, one hundred".