1010056011561 has 12 divisors (see below), whose sum is σ = 1460729720580. Its totient is φ = 672558400800.

The previous prime is 1010056011521. The next prime is 1010056011593. The reversal of 1010056011561 is 1651106500101.

1010056011561 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 5 + 601 + 1 + 56 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 704516816025 + 305539195536 = 839355^2 + 552756^2 .

It is not a de Polignac number, because 1010056011561 - 2¹⁵ = 1010055978793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010056011511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67681590 + ... + 67696511.

It is an arithmetic number, because the mean of its divisors is an integer number (121727476715).

Almost surely, 2^{1010056011561} is an apocalyptic number.

It is an amenable number.

1010056011561 is a deficient number, since it is larger than the sum of its proper divisors (450673709019).

1010056011561 is a wasteful number, since it uses less digits than its factorization.

1010056011561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135378936 (or 135378933 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 1010056011561 in words is "one trillion, ten billion, fifty-six million, eleven thousand, five hundred sixty-one".