507113 has 2 divisors, whose sum is σ = 507114. Its totient is φ = 507112.

The previous prime is 507109. The next prime is 507119. The reversal of 507113 is 311705.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 506944 + 169 = 712^2 + 13^2 .

It is a cyclic number.

It is not a de Polignac number, because 507113 - 2² = 507109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 507091 and 507100.

It is not a weakly prime, because it can be changed into another prime (507119) 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, 253556 + 253557.

It is an arithmetic number, because the mean of its divisors is an integer number (253557).

2⁵⁰⁷¹¹³ is an apocalyptic number.

It is an amenable number.

507113 is a deficient number, since it is larger than the sum of its proper divisors (1).

507113 is an equidigital number, since it uses as much as digits as its factorization.

507113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 507113 is about 712.1186698859. The cubic root of 507113 is about 79.7446546012.

Adding to 507113 its reverse (311705), we get a palindrome (818818).

It can be divided in two parts, 507 and 113, that multiplied together give a triangular number (57291 = T₃₃₈).

The spelling of 507113 in words is "five hundred seven thousand, one hundred thirteen".