507307221 has 12 divisors (see below), whose sum is σ = 732976972. Its totient is φ = 338112576.

The previous prime is 507307139. The next prime is 507307231. The reversal of 507307221 is 122703705.

It can be written as a sum of positive squares in 2 ways, for example, as 311699025 + 195608196 = 17655^2 + 13986^2 .

It is not a de Polignac number, because 507307221 - 2⁷ = 507307093 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507307231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49665 + ... + 59001.

Almost surely, 2^507307221 is an apocalyptic number.

It is an amenable number.

507307221 is a deficient number, since it is larger than the sum of its proper divisors (225669751).

507307221 is a wasteful number, since it uses less digits than its factorization.

507307221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15380 (or 15377 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 507307221 is about 22523.4815470433. The cubic root of 507307221 is about 797.5483386416.

It can be divided in two parts, 507307 and 221, that added together give a triangular number (507528 = T₁₀₀₇).

The spelling of 507307221 in words is "five hundred seven million, three hundred seven thousand, two hundred twenty-one".