507953 has 2 divisors, whose sum is σ = 507954. Its totient is φ = 507952.

The previous prime is 507937. The next prime is 507961. The reversal of 507953 is 359705.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 394384 + 113569 = 628^2 + 337^2 .

It is a cyclic number.

It is not a de Polignac number, because 507953 - 2⁴ = 507937 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (500953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253976 + 253977.

It is an arithmetic number, because the mean of its divisors is an integer number (253977).

2⁵⁰⁷⁹⁵³ is an apocalyptic number.

It is an amenable number.

507953 is a deficient number, since it is larger than the sum of its proper divisors (1).

507953 is an equidigital number, since it uses as much as digits as its factorization.

507953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4725, while the sum is 29.

The square root of 507953 is about 712.7082151905. The cubic root of 507953 is about 79.7886609391.

The spelling of 507953 in words is "five hundred seven thousand, nine hundred fifty-three".