513031 has 2 divisors, whose sum is σ = 513032. Its totient is φ = 513030.

The previous prime is 513017. The next prime is 513041. The reversal of 513031 is 130315.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 513031 - 2⁵ = 512999 is a prime.

It is a super-2 number, since 2×513031² = 526401613922, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256515 + 256516.

It is an arithmetic number, because the mean of its divisors is an integer number (256516).

2⁵¹³⁰³¹ is an apocalyptic number.

513031 is a deficient number, since it is larger than the sum of its proper divisors (1).

513031 is an equidigital number, since it uses as much as digits as its factorization.

513031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 513031 is about 716.2618236371. The cubic root of 513031 is about 80.0536619136.

Adding to 513031 its reverse (130315), we get a palindrome (643346).

The spelling of 513031 in words is "five hundred thirteen thousand, thirty-one".