2135137570117 has 2 divisors, whose sum is σ = 2135137570118. Its totient is φ = 2135137570116.

The previous prime is 2135137570099. The next prime is 2135137570129. The reversal of 2135137570117 is 7110757315312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1424869555041 + 710268015076 = 1193679^2 + 842774^2 .

It is a cyclic number.

It is not a de Polignac number, because 2135137570117 - 2¹⁵ = 2135137537349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2135137570147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1067568785058 + 1067568785059.

It is an arithmetic number, because the mean of its divisors is an integer number (1067568785059).

Almost surely, 2^{2135137570117} is an apocalyptic number.

It is an amenable number.

2135137570117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2135137570117 is an equidigital number, since it uses as much as digits as its factorization.

2135137570117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 154350, while the sum is 43.

The spelling of 2135137570117 in words is "two trillion, one hundred thirty-five billion, one hundred thirty-seven million, five hundred seventy thousand, one hundred seventeen".