513032801 has 2 divisors, whose sum is σ = 513032802. Its totient is φ = 513032800.

The previous prime is 513032743. The next prime is 513032809. The reversal of 513032801 is 108230315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 413512225 + 99520576 = 20335^2 + 9976^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513032801 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (513032809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256516400 + 256516401.

It is an arithmetic number, because the mean of its divisors is an integer number (256516401).

Almost surely, 2^513032801 is an apocalyptic number.

It is an amenable number.

513032801 is a deficient number, since it is larger than the sum of its proper divisors (1).

513032801 is an equidigital number, since it uses as much as digits as its factorization.

513032801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 513032801 is about 22650.2273940020. The cubic root of 513032801 is about 800.5375558987.

The spelling of 513032801 in words is "five hundred thirteen million, thirty-two thousand, eight hundred one".