509850265444 has 81 divisors (see below), whose sum is σ = 1001673270507. Its totient is φ = 226961262528.

The previous prime is 509850265433. The next prime is 509850265447. The reversal of 509850265444 is 444562058905.

The square root of 509850265444 is 714038.

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 65377376100 + 444472889344 = 255690^2 + 666688^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 509850265391 and 509850265400.

It is not an unprimeable number, because it can be changed into a prime (509850265447) 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, 538384179 + ... + 538385125.

Almost surely, 2^509850265444 is an apocalyptic number.

509850265444 is the 714038-th square number.

It is an amenable number.

509850265444 is a deficient number, since it is larger than the sum of its proper divisors (491823005063).

509850265444 is an equidigital number, since it uses as much as digits as its factorization.

509850265444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 52.

The spelling of 509850265444 in words is "five hundred nine billion, eight hundred fifty million, two hundred sixty-five thousand, four hundred forty-four".