1051106561 has 2 divisors, whose sum is σ = 1051106562. Its totient is φ = 1051106560.

The previous prime is 1051106557. The next prime is 1051106569. The reversal of 1051106561 is 1656011501.

1051106561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1034008336 + 17098225 = 32156^2 + 4135^2 .

It is a cyclic number.

It is not a de Polignac number, because 1051106561 - 2² = 1051106557 is a prime.

It is a super-2 number, since 2×1051106561² = 2209650005154493442, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1051106561.

It is not a weakly prime, because it can be changed into another prime (1051106569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 525553280 + 525553281.

It is an arithmetic number, because the mean of its divisors is an integer number (525553281).

Almost surely, 2^1051106561 is an apocalyptic number.

It is an amenable number.

1051106561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1051106561 is an equidigital number, since it uses as much as digits as its factorization.

1051106561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 26.

The square root of 1051106561 is about 32420.7736027381. The cubic root of 1051106561 is about 1016.7532805303.

The spelling of 1051106561 in words is "one billion, fifty-one million, one hundred six thousand, five hundred sixty-one".