509650354404 has 135 divisors (see below), whose sum is σ = 1415915891467. Its totient is φ = 159821773056.

The previous prime is 509650354399. The next prime is 509650354429. The reversal of 509650354404 is 404453056905.

The square root of 509650354404 is 713898.

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

509650354404 is a `hidden beast` number, since 5 + 0 + 96 + 503 + 54 + 4 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9235594404 + 500414760000 = 96102^2 + 707400^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 509650354404.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 218451622 + ... + 218453954.

Almost surely, 2^509650354404 is an apocalyptic number.

509650354404 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

509650354404 is the 713898-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509650354404

509650354404 is an abundant number, since it is smaller than the sum of its proper divisors (906265537063).

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

509650354404 is an equidigital number, since it uses as much as digits as its factorization.

509650354404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 509650354404 in words is "five hundred nine billion, six hundred fifty million, three hundred fifty-four thousand, four hundred four".