513137 has 2 divisors, whose sum is σ = 513138. Its totient is φ = 513136.

The previous prime is 513131. The next prime is 513157. The reversal of 513137 is 731315.

It is a happy number.

It is an a-pointer prime, because the next prime (513157) can be obtained adding 513137 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 474721 + 38416 = 689^2 + 196^2 .

It is a cyclic number.

It is not a de Polignac number, because 513137 - 2¹⁸ = 250993 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (513131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256568 + 256569.

It is an arithmetic number, because the mean of its divisors is an integer number (256569).

2⁵¹³¹³⁷ is an apocalyptic number.

It is an amenable number.

513137 is a deficient number, since it is larger than the sum of its proper divisors (1).

513137 is an equidigital number, since it uses as much as digits as its factorization.

513137 is an odious number, because the sum of its binary digits is odd.

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

The square root of 513137 is about 716.3358151035. The cubic root of 513137 is about 80.0591749682.

The spelling of 513137 in words is "five hundred thirteen thousand, one hundred thirty-seven".