507557 has 2 divisors, whose sum is σ = 507558. Its totient is φ = 507556.

The previous prime is 507523. The next prime is 507571. The reversal of 507557 is 755705.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 481636 + 25921 = 694^2 + 161^2 .

It is a cyclic number.

It is not a de Polignac number, because 507557 - 2⁸ = 507301 is a prime.

It is a super-2 number, since 2×507557² = 515228216498, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (507757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253778 + 253779.

It is an arithmetic number, because the mean of its divisors is an integer number (253779).

2⁵⁰⁷⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

507557 is a deficient number, since it is larger than the sum of its proper divisors (1).

507557 is an equidigital number, since it uses as much as digits as its factorization.

507557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6125, while the sum is 29.

The square root of 507557 is about 712.4303474726. The cubic root of 507557 is about 79.7679211436.

Subtracting from 507557 its sum of digits (29), we obtain a triangular number (507528 = T₁₀₀₇).

The spelling of 507557 in words is "five hundred seven thousand, five hundred fifty-seven".