513164101 has 2 divisors, whose sum is σ = 513164102. Its totient is φ = 513164100.

The previous prime is 513164089. The next prime is 513164117. The reversal of 513164101 is 101461315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 465912225 + 47251876 = 21585^2 + 6874^2 .

It is a cyclic number.

It is not a de Polignac number, because 513164101 - 2⁹ = 513163589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513164131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256582050 + 256582051.

It is an arithmetic number, because the mean of its divisors is an integer number (256582051).

Almost surely, 2^513164101 is an apocalyptic number.

It is an amenable number.

513164101 is a deficient number, since it is larger than the sum of its proper divisors (1).

513164101 is an equidigital number, since it uses as much as digits as its factorization.

513164101 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 513164101 is about 22653.1256342254. The cubic root of 513164101 is about 800.6058436801.

The spelling of 513164101 in words is "five hundred thirteen million, one hundred sixty-four thousand, one hundred one".