513367 has 2 divisors, whose sum is σ = 513368. Its totient is φ = 513366.

The previous prime is 513353. The next prime is 513371. The reversal of 513367 is 763315.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 513367 - 2⁷ = 513239 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513307) 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, 256683 + 256684.

It is an arithmetic number, because the mean of its divisors is an integer number (256684).

2⁵¹³³⁶⁷ is an apocalyptic number.

513367 is a deficient number, since it is larger than the sum of its proper divisors (1).

513367 is an equidigital number, since it uses as much as digits as its factorization.

513367 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1890, while the sum is 25.

The square root of 513367 is about 716.4963363479. The cubic root of 513367 is about 80.0711346462.

The spelling of 513367 in words is "five hundred thirteen thousand, three hundred sixty-seven".