713612037137 has 2 divisors, whose sum is σ = 713612037138. Its totient is φ = 713612037136.

The previous prime is 713612037091. The next prime is 713612037139. The reversal of 713612037137 is 731730216317.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 384599665921 + 329012371216 = 620161^2 + 573596^2 .

It is a cyclic number.

It is not a de Polignac number, because 713612037137 - 2⁸ = 713612036881 is a prime.

Together with 713612037139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 713612037094 and 713612037103.

It is not a weakly prime, because it can be changed into another prime (713612037139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356806018568 + 356806018569.

It is an arithmetic number, because the mean of its divisors is an integer number (356806018569).

Almost surely, 2^713612037137 is an apocalyptic number.

It is an amenable number.

713612037137 is a deficient number, since it is larger than the sum of its proper divisors (1).

713612037137 is an equidigital number, since it uses as much as digits as its factorization.

713612037137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 111132, while the sum is 41.

The spelling of 713612037137 in words is "seven hundred thirteen billion, six hundred twelve million, thirty-seven thousand, one hundred thirty-seven".