993631093452241 has 2 divisors, whose sum is σ = 993631093452242. Its totient is φ = 993631093452240.

The previous prime is 993631093452209. The next prime is 993631093452259. The reversal of 993631093452241 is 142254390136399.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 983409459609600 + 10221633842641 = 31359360^2 + 3197129^2 .

It is an emirp because it is prime and its reverse (142254390136399) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 993631093452241 - 2⁵ = 993631093452209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 993631093452241.

It is not a weakly prime, because it can be changed into another prime (993631093552241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496815546726120 + 496815546726121.

It is an arithmetic number, because the mean of its divisors is an integer number (496815546726121).

Almost surely, 2^{993631093452241} is an apocalyptic number.

It is an amenable number.

993631093452241 is a deficient number, since it is larger than the sum of its proper divisors (1).

993631093452241 is an equidigital number, since it uses as much as digits as its factorization.

993631093452241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37791360, while the sum is 61.

The spelling of 993631093452241 in words is "nine hundred ninety-three trillion, six hundred thirty-one billion, ninety-three million, four hundred fifty-two thousand, two hundred forty-one".