3567629512961 has 2 divisors, whose sum is σ = 3567629512962. Its totient is φ = 3567629512960.

The previous prime is 3567629512957. The next prime is 3567629513017. The reversal of 3567629512961 is 1692159267653.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3022535239936 + 545094273025 = 1738544^2 + 738305^2 .

It is a cyclic number.

It is not a de Polignac number, because 3567629512961 - 2² = 3567629512957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3567629512894 and 3567629512903.

It is not a weakly prime, because it can be changed into another prime (3567629512921) 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, 1783814756480 + 1783814756481.

It is an arithmetic number, because the mean of its divisors is an integer number (1783814756481).

Almost surely, 2^{3567629512961} is an apocalyptic number.

It is an amenable number.

3567629512961 is a deficient number, since it is larger than the sum of its proper divisors (1).

3567629512961 is an equidigital number, since it uses as much as digits as its factorization.

3567629512961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36741600, while the sum is 62.

The spelling of 3567629512961 in words is "three trillion, five hundred sixty-seven billion, six hundred twenty-nine million, five hundred twelve thousand, nine hundred sixty-one".