509222105604 has 81 divisors (see below), whose sum is σ = 1345859095399. Its totient is φ = 162329273040.

The previous prime is 509222105591. The next prime is 509222105611. The reversal of 509222105604 is 406501222905.

The square root of 509222105604 is 713598.

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

509222105604 is a `hidden beast` number, since 5 + 0 + 9 + 22 + 21 + 0 + 5 + 604 = 666.

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

It is a Duffinian number.

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, 98473939 + ... + 98479109.

Almost surely, 2^509222105604 is an apocalyptic number.

509222105604 is the 713598-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509222105604

509222105604 is an abundant number, since it is smaller than the sum of its proper divisors (836636989795).

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

509222105604 is an equidigital number, since it uses as much as digits as its factorization.

509222105604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10398 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 509222105604 by its sum of digits (36), we get a square (18331995801744 = 4281588²).

509222105604 divided by its sum of digits (36) gives a square (14145058489 = 118933²).

The spelling of 509222105604 in words is "five hundred nine billion, two hundred twenty-two million, one hundred five thousand, six hundred four".