513130801 has 2 divisors, whose sum is σ = 513130802. Its totient is φ = 513130800.

The previous prime is 513130757. The next prime is 513130829. The reversal of 513130801 is 108031315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 377291776 + 135839025 = 19424^2 + 11655^2 .

It is a cyclic number.

It is not a de Polignac number, because 513130801 - 2²⁵ = 479576369 is a prime.

It is not a weakly prime, because it can be changed into another prime (513130831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256565400 + 256565401.

It is an arithmetic number, because the mean of its divisors is an integer number (256565401).

Almost surely, 2^513130801 is an apocalyptic number.

It is an amenable number.

513130801 is a deficient number, since it is larger than the sum of its proper divisors (1).

513130801 is an equidigital number, since it uses as much as digits as its factorization.

513130801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 513130801 is about 22652.3906243911. The cubic root of 513130801 is about 800.5885257947.

The spelling of 513130801 in words is "five hundred thirteen million, one hundred thirty thousand, eight hundred one".