3631581009673 has 2 divisors, whose sum is σ = 3631581009674. Its totient is φ = 3631581009672.

The previous prime is 3631581009629. The next prime is 3631581009709. The reversal of 3631581009673 is 3769001851363.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2421235585024 + 1210345424649 = 1556032^2 + 1100157^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3631581009673 is a prime.

It is a super-2 number, since 2×3631581009673² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3631581009673.

It is not a weakly prime, because it can be changed into another prime (3631581000673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1815790504836 + 1815790504837.

It is an arithmetic number, because the mean of its divisors is an integer number (1815790504837).

Almost surely, 2^{3631581009673} is an apocalyptic number.

It is an amenable number.

3631581009673 is a deficient number, since it is larger than the sum of its proper divisors (1).

3631581009673 is an equidigital number, since it uses as much as digits as its factorization.

3631581009673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2449440, while the sum is 52.

The spelling of 3631581009673 in words is "three trillion, six hundred thirty-one billion, five hundred eighty-one million, nine thousand, six hundred seventy-three".