122735607566057 has 2 divisors, whose sum is σ = 122735607566058. Its totient is φ = 122735607566056.

The previous prime is 122735607566017. The next prime is 122735607566063. The reversal of 122735607566057 is 750665706537221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110530233848896 + 12205373717161 = 10513336^2 + 3493619^2 .

It is a cyclic number.

It is not a de Polignac number, because 122735607566057 - 2¹⁸ = 122735607303913 is a prime.

It is not a weakly prime, because it can be changed into another prime (122735607566017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61367803783028 + 61367803783029.

It is an arithmetic number, because the mean of its divisors is an integer number (61367803783029).

Almost surely, 2^{122735607566057} is an apocalyptic number.

It is an amenable number.

122735607566057 is a deficient number, since it is larger than the sum of its proper divisors (1).

122735607566057 is an equidigital number, since it uses as much as digits as its factorization.

122735607566057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 111132000, while the sum is 62.

The spelling of 122735607566057 in words is "one hundred twenty-two trillion, seven hundred thirty-five billion, six hundred seven million, five hundred sixty-six thousand, fifty-seven".