712128013 has 2 divisors, whose sum is σ = 712128014. Its totient is φ = 712128012.

The previous prime is 712127971. The next prime is 712128017. The reversal of 712128013 is 310821217.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 619910404 + 92217609 = 24898^2 + 9603^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-712128013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (712128017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356064006 + 356064007.

It is an arithmetic number, because the mean of its divisors is an integer number (356064007).

Almost surely, 2^712128013 is an apocalyptic number.

It is an amenable number.

712128013 is a deficient number, since it is larger than the sum of its proper divisors (1).

712128013 is an equidigital number, since it uses as much as digits as its factorization.

712128013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 712128013 is about 26685.7267654452. The cubic root of 712128013 is about 893.0025313982.

The spelling of 712128013 in words is "seven hundred twelve million, one hundred twenty-eight thousand, thirteen".