513731 has 2 divisors, whose sum is σ = 513732. Its totient is φ = 513730.

The previous prime is 513727. The next prime is 513739. The reversal of 513731 is 137315.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 513731 - 2² = 513727 is a prime.

It is a super-2 number, since 2×513731² = 527839080722, which contains 22 as substring.

It is a Chen prime.

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (513739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256865 + 256866.

It is an arithmetic number, because the mean of its divisors is an integer number (256866).

2⁵¹³⁷³¹ is an apocalyptic number.

513731 is a deficient number, since it is larger than the sum of its proper divisors (1).

513731 is an equidigital number, since it uses as much as digits as its factorization.

513731 is an evil number, because the sum of its binary digits is even.

The product of its digits is 315, while the sum is 20.

The square root of 513731 is about 716.7503051970. The cubic root of 513731 is about 80.0900548385.

The spelling of 513731 in words is "five hundred thirteen thousand, seven hundred thirty-one".