10772632412561 has 2 divisors, whose sum is σ = 10772632412562. Its totient is φ = 10772632412560.

The previous prime is 10772632412489. The next prime is 10772632412569. The reversal of 10772632412561 is 16521423627701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10304613606400 + 468018806161 = 3210080^2 + 684119^2 .

It is an emirp because it is prime and its reverse (16521423627701) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10772632412561 is a prime.

It is not a weakly prime, because it can be changed into another prime (10772632412569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5386316206280 + 5386316206281.

It is an arithmetic number, because the mean of its divisors is an integer number (5386316206281).

Almost surely, 2^{10772632412561} is an apocalyptic number.

It is an amenable number.

10772632412561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10772632412561 is an equidigital number, since it uses as much as digits as its factorization.

10772632412561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 10772632412561 in words is "ten trillion, seven hundred seventy-two billion, six hundred thirty-two million, four hundred twelve thousand, five hundred sixty-one".