509811241 has 9 divisors (see below), whose sum is σ = 519074199. Its totient is φ = 500711904.

The previous prime is 509811229. The next prime is 509811251. The reversal of 509811241 is 142118905.

It is a happy number.

The square root of 509811241 is 22579.

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

It can be written as a sum of positive squares in only one way, i.e., 137475625 + 372335616 = 11725^2 + 19296^2 .

It is not a de Polignac number, because 509811241 - 2²⁷ = 375593513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509811251) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1512625 + ... + 1512961.

It is an arithmetic number, because the mean of its divisors is an integer number (57674911).

Almost surely, 2^509811241 is an apocalyptic number.

509811241 is the 22579-th square number.

509811241 is the 11290-th centered octagonal number.

It is an amenable number.

509811241 is a deficient number, since it is larger than the sum of its proper divisors (9262958).

509811241 is an frugal number, since it uses more digits than its factorization.

509811241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The cubic root of 509811241 is about 798.8583930460.

The spelling of 509811241 in words is "five hundred nine million, eight hundred eleven thousand, two hundred forty-one".