997577585775761 has 2 divisors, whose sum is σ = 997577585775762. Its totient is φ = 997577585775760.

The previous prime is 997577585775713. The next prime is 997577585775833. The reversal of 997577585775761 is 167577585775799.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 617513554032400 + 380064031743361 = 24849820^2 + 19495231^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-997577585775761 is a prime.

It is a super-2 number, since 2×997577585775761² (a number of 31 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (997577585775161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 498788792887880 + 498788792887881.

It is an arithmetic number, because the mean of its divisors is an integer number (498788792887881).

Almost surely, 2^{997577585775761} is an apocalyptic number.

It is an amenable number.

997577585775761 is a deficient number, since it is larger than the sum of its proper divisors (1).

997577585775761 is an equidigital number, since it uses as much as digits as its factorization.

997577585775761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 285887070000, while the sum is 95.

The spelling of 997577585775761 in words is "nine hundred ninety-seven trillion, five hundred seventy-seven billion, five hundred eighty-five million, seven hundred seventy-five thousand, seven hundred sixty-one".