513167 has 2 divisors, whose sum is σ = 513168. Its totient is φ = 513166.

The previous prime is 513157. The next prime is 513169. The reversal of 513167 is 761315.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 513167 - 2⁶ = 513103 is a prime.

Together with 513169, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513167.

It is not a weakly prime, because it can be changed into another prime (513169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256583 + 256584.

It is an arithmetic number, because the mean of its divisors is an integer number (256584).

2⁵¹³¹⁶⁷ is an apocalyptic number.

513167 is a deficient number, since it is larger than the sum of its proper divisors (1).

513167 is an equidigital number, since it uses as much as digits as its factorization.

513167 is an evil number, because the sum of its binary digits is even.

The product of its digits is 630, while the sum is 23.

The square root of 513167 is about 716.3567546970. The cubic root of 513167 is about 80.0607351289.

The spelling of 513167 in words is "five hundred thirteen thousand, one hundred sixty-seven".