9735322115257 has 2 divisors, whose sum is σ = 9735322115258. Its totient is φ = 9735322115256.

The previous prime is 9735322115221. The next prime is 9735322115263. The reversal of 9735322115257 is 7525112235379.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8803023726121 + 932298389136 = 2966989^2 + 965556^2 .

It is a cyclic number.

It is not a de Polignac number, because 9735322115257 - 2¹⁵ = 9735322082489 is a prime.

It is not a weakly prime, because it can be changed into another prime (9735322115287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4867661057628 + 4867661057629.

It is an arithmetic number, because the mean of its divisors is an integer number (4867661057629).

Almost surely, 2^{9735322115257} is an apocalyptic number.

It is an amenable number.

9735322115257 is a deficient number, since it is larger than the sum of its proper divisors (1).

9735322115257 is an equidigital number, since it uses as much as digits as its factorization.

9735322115257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3969000, while the sum is 52.

The spelling of 9735322115257 in words is "nine trillion, seven hundred thirty-five billion, three hundred twenty-two million, one hundred fifteen thousand, two hundred fifty-seven".