509667625 has 8 divisors (see below), whose sum is σ = 636065352. Its totient is φ = 407734000.

The previous prime is 509667623. The next prime is 509667659. The reversal of 509667625 is 526766905.

It can be written as a sum of positive squares in 4 ways, for example, as 50808384 + 458859241 = 7128^2 + 21421^2 .

It is not a de Polignac number, because 509667625 - 2¹ = 509667623 is a prime.

It is a super-2 number, since 2×509667625² = 519522175946281250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509667623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2038546 + ... + 2038795.

It is an arithmetic number, because the mean of its divisors is an integer number (79508169).

Almost surely, 2^509667625 is an apocalyptic number.

It is an amenable number.

509667625 is a deficient number, since it is larger than the sum of its proper divisors (126397727).

509667625 is an equidigital number, since it uses as much as digits as its factorization.

509667625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077356 (or 4077346 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The square root of 509667625 is about 22575.8194757134. The cubic root of 509667625 is about 798.7833720627.

The spelling of 509667625 in words is "five hundred nine million, six hundred sixty-seven thousand, six hundred twenty-five".