117735175791721 has 2 divisors, whose sum is σ = 117735175791722. Its totient is φ = 117735175791720.

The previous prime is 117735175791647. The next prime is 117735175791749. The reversal of 117735175791721 is 127197571537711.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69544991924496 + 48190183867225 = 8339364^2 + 6941915^2 .

It is a cyclic number.

It is not a de Polignac number, because 117735175791721 - 2²¹ = 117735173694569 is a prime.

It is not a weakly prime, because it can be changed into another prime (117735175701721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58867587895860 + 58867587895861.

It is an arithmetic number, because the mean of its divisors is an integer number (58867587895861).

Almost surely, 2^{117735175791721} is an apocalyptic number.

It is an amenable number.

117735175791721 is a deficient number, since it is larger than the sum of its proper divisors (1).

117735175791721 is an equidigital number, since it uses as much as digits as its factorization.

117735175791721 is an evil number, because the sum of its binary digits is even.

The product of its digits is 22689450, while the sum is 64.

The spelling of 117735175791721 in words is "one hundred seventeen trillion, seven hundred thirty-five billion, one hundred seventy-five million, seven hundred ninety-one thousand, seven hundred twenty-one".