513407977 has 2 divisors, whose sum is σ = 513407978. Its totient is φ = 513407976.

The previous prime is 513407963. The next prime is 513408011. The reversal of 513407977 is 779704315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 512071641 + 1336336 = 22629^2 + 1156^2 .

It is a cyclic number.

It is not a de Polignac number, because 513407977 - 2⁷ = 513407849 is a prime.

It is not a weakly prime, because it can be changed into another prime (513407927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256703988 + 256703989.

It is an arithmetic number, because the mean of its divisors is an integer number (256703989).

Almost surely, 2^513407977 is an apocalyptic number.

It is an amenable number.

513407977 is a deficient number, since it is larger than the sum of its proper divisors (1).

513407977 is an equidigital number, since it uses as much as digits as its factorization.

513407977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 185220, while the sum is 43.

The square root of 513407977 is about 22658.5078281867. The cubic root of 513407977 is about 800.7326501790.

The spelling of 513407977 in words is "five hundred thirteen million, four hundred seven thousand, nine hundred seventy-seven".