507361 has 2 divisors, whose sum is σ = 507362. Its totient is φ = 507360.

The previous prime is 507359. The next prime is 507371. The reversal of 507361 is 163705.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 483025 + 24336 = 695^2 + 156^2 .

It is a cyclic number.

It is not a de Polignac number, because 507361 - 2¹ = 507359 is a prime.

Together with 507359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (507301) 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, 253680 + 253681.

It is an arithmetic number, because the mean of its divisors is an integer number (253681).

2⁵⁰⁷³⁶¹ is an apocalyptic number.

It is an amenable number.

507361 is a deficient number, since it is larger than the sum of its proper divisors (1).

507361 is an equidigital number, since it uses as much as digits as its factorization.

507361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 507361 is about 712.2927768832. The cubic root of 507361 is about 79.7576520011.

It can be divided in two parts, 507 and 361, that added together give a palindrome (868).

The spelling of 507361 in words is "five hundred seven thousand, three hundred sixty-one".