409289759981 has 2 divisors, whose sum is σ = 409289759982. Its totient is φ = 409289759980.

The previous prime is 409289759897. The next prime is 409289760001. The reversal of 409289759981 is 189957982904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 363036375625 + 46253384356 = 602525^2 + 215066^2 .

It is a cyclic number.

It is not a de Polignac number, because 409289759981 - 2²² = 409285565677 is a prime.

It is a super-2 number, since 2×409289759981² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409289759881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204644879990 + 204644879991.

It is an arithmetic number, because the mean of its divisors is an integer number (204644879991).

Almost surely, 2^409289759981 is an apocalyptic number.

It is an amenable number.

409289759981 is a deficient number, since it is larger than the sum of its proper divisors (1).

409289759981 is an equidigital number, since it uses as much as digits as its factorization.

409289759981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 117573120, while the sum is 71.

The spelling of 409289759981 in words is "four hundred nine billion, two hundred eighty-nine million, seven hundred fifty-nine thousand, nine hundred eighty-one".