513105200117 has 2 divisors, whose sum is σ = 513105200118. Its totient is φ = 513105200116.

The previous prime is 513105200087. The next prime is 513105200147. The reversal of 513105200117 is 711002501315.

It is a balanced prime because it is at equal distance from previous prime (513105200087) and next prime (513105200147).

It can be written as a sum of positive squares in only one way, i.e., 461433545521 + 51671654596 = 679289^2 + 227314^2 .

It is a cyclic number.

It is not a de Polignac number, because 513105200117 - 2⁸ = 513105199861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513105200147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256552600058 + 256552600059.

It is an arithmetic number, because the mean of its divisors is an integer number (256552600059).

Almost surely, 2^513105200117 is an apocalyptic number.

It is an amenable number.

513105200117 is a deficient number, since it is larger than the sum of its proper divisors (1).

513105200117 is an equidigital number, since it uses as much as digits as its factorization.

513105200117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1050, while the sum is 26.

The spelling of 513105200117 in words is "five hundred thirteen billion, one hundred five million, two hundred thousand, one hundred seventeen".