1075629666961 has 2 divisors, whose sum is σ = 1075629666962. Its totient is φ = 1075629666960.

The previous prime is 1075629666941. The next prime is 1075629666971. The reversal of 1075629666961 is 1696669265701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1062381656961 + 13248010000 = 1030719^2 + 115100^2 .

It is a cyclic number.

It is not a de Polignac number, because 1075629666961 - 2¹⁹ = 1075629142673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1075629666893 and 1075629666902.

It is not a weakly prime, because it can be changed into another prime (1075629666941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 537814833480 + 537814833481.

It is an arithmetic number, because the mean of its divisors is an integer number (537814833481).

Almost surely, 2^{1075629666961} is an apocalyptic number.

It is an amenable number.

1075629666961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1075629666961 is an equidigital number, since it uses as much as digits as its factorization.

1075629666961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 44089920, while the sum is 64.

The spelling of 1075629666961 in words is "one trillion, seventy-five billion, six hundred twenty-nine million, six hundred sixty-six thousand, nine hundred sixty-one".