756531242135657 has 2 divisors, whose sum is σ = 756531242135658. Its totient is φ = 756531242135656.

The previous prime is 756531242135651. The next prime is 756531242135659.

756531242135657 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 517767679831081 + 238763562304576 = 22754509^2 + 15451976^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-756531242135657 is a prime.

Together with 756531242135659, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 756531242135657.

It is not a weakly prime, because it can be changed into another prime (756531242135651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 378265621067828 + 378265621067829.

It is an arithmetic number, because the mean of its divisors is an integer number (378265621067829).

Almost surely, 2^{756531242135657} is an apocalyptic number.

It is an amenable number.

756531242135657 is a deficient number, since it is larger than the sum of its proper divisors (1).

756531242135657 is an equidigital number, since it uses as much as digits as its factorization.

756531242135657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 158760000, while the sum is 62.

The spelling of 756531242135657 in words is "seven hundred fifty-six trillion, five hundred thirty-one billion, two hundred forty-two million, one hundred thirty-five thousand, six hundred fifty-seven".