9957628336057 has 2 divisors, whose sum is σ = 9957628336058. Its totient is φ = 9957628336056.

The previous prime is 9957628336009. The next prime is 9957628336069. The reversal of 9957628336057 is 7506338267599.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9957628336041 + 16 = 3155571^2 + 4^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9957628336057 is a prime.

It is not a weakly prime, because it can be changed into another prime (9957628330057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4978814168028 + 4978814168029.

It is an arithmetic number, because the mean of its divisors is an integer number (4978814168029).

Almost surely, 2^{9957628336057} is an apocalyptic number.

It is an amenable number.

9957628336057 is a deficient number, since it is larger than the sum of its proper divisors (1).

9957628336057 is an equidigital number, since it uses as much as digits as its factorization.

9957628336057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 514382400, while the sum is 70.

The spelling of 9957628336057 in words is "nine trillion, nine hundred fifty-seven billion, six hundred twenty-eight million, three hundred thirty-six thousand, fifty-seven".