513205123127 has 2 divisors, whose sum is σ = 513205123128. Its totient is φ = 513205123126.

The previous prime is 513205123117. The next prime is 513205123177. The reversal of 513205123127 is 721321502315.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 513205123127 - 2³⁴ = 496025253943 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513205123093 and 513205123102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513205123117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256602561563 + 256602561564.

It is an arithmetic number, because the mean of its divisors is an integer number (256602561564).

Almost surely, 2^513205123127 is an apocalyptic number.

513205123127 is a deficient number, since it is larger than the sum of its proper divisors (1).

513205123127 is an equidigital number, since it uses as much as digits as its factorization.

513205123127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 513205123127 in words is "five hundred thirteen billion, two hundred five million, one hundred twenty-three thousand, one hundred twenty-seven".