513977 has 2 divisors, whose sum is σ = 513978. Its totient is φ = 513976.

The previous prime is 513943. The next prime is 513991. The reversal of 513977 is 779315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 395641 + 118336 = 629^2 + 344^2 .

It is a cyclic number.

It is not a de Polignac number, because 513977 - 2¹⁸ = 251833 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513977.

It is not a weakly prime, because it can be changed into another prime (513917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256988 + 256989.

It is an arithmetic number, because the mean of its divisors is an integer number (256989).

2⁵¹³⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

513977 is a deficient number, since it is larger than the sum of its proper divisors (1).

513977 is an equidigital number, since it uses as much as digits as its factorization.

513977 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6615, while the sum is 32.

The square root of 513977 is about 716.9218925378. The cubic root of 513977 is about 80.1028365015.

The spelling of 513977 in words is "five hundred thirteen thousand, nine hundred seventy-seven".