513208841 has 2 divisors, whose sum is σ = 513208842. Its totient is φ = 513208840.

The previous prime is 513208793. The next prime is 513208847. The reversal of 513208841 is 148802315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 447534025 + 65674816 = 21155^2 + 8104^2 .

It is a cyclic number.

It is not a de Polignac number, because 513208841 - 2²⁶ = 446099977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513208798 and 513208807.

It is not a weakly prime, because it can be changed into another prime (513208847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256604420 + 256604421.

It is an arithmetic number, because the mean of its divisors is an integer number (256604421).

Almost surely, 2^513208841 is an apocalyptic number.

It is an amenable number.

513208841 is a deficient number, since it is larger than the sum of its proper divisors (1).

513208841 is an equidigital number, since it uses as much as digits as its factorization.

513208841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 513208841 is about 22654.1131143993. The cubic root of 513208841 is about 800.6291098338.

The spelling of 513208841 in words is "five hundred thirteen million, two hundred eight thousand, eight hundred forty-one".