513277 has 2 divisors, whose sum is σ = 513278. Its totient is φ = 513276.

The previous prime is 513269. The next prime is 513283. The reversal of 513277 is 772315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 509796 + 3481 = 714^2 + 59^2 .

It is a cyclic number.

It is not a de Polignac number, because 513277 - 2³ = 513269 is a prime.

513277 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256638 + 256639.

It is an arithmetic number, because the mean of its divisors is an integer number (256639).

2⁵¹³²⁷⁷ is an apocalyptic number.

It is an amenable number.

513277 is a deficient number, since it is larger than the sum of its proper divisors (1).

513277 is an equidigital number, since it uses as much as digits as its factorization.

513277 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1470, while the sum is 25.

The square root of 513277 is about 716.4335279703. The cubic root of 513277 is about 80.0664551977.

The spelling of 513277 in words is "five hundred thirteen thousand, two hundred seventy-seven".