1061010510561 has 24 divisors (see below), whose sum is σ = 1561573264680. Its totient is φ = 693956030976.

The previous prime is 1061010510557. The next prime is 1061010510577. The reversal of 1061010510561 is 1650150101601.

1061010510561 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 229939430400 + 831071080161 = 479520^2 + 911631^2 .

It is not a de Polignac number, because 1061010510561 - 2² = 1061010510557 is a prime.

It is a super-2 number, since 2×1061010510561² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1061010520561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10505275 + ... + 10605791.

It is an arithmetic number, because the mean of its divisors is an integer number (65065552695).

Almost surely, 2^{1061010510561} is an apocalyptic number.

It is an amenable number.

1061010510561 is a deficient number, since it is larger than the sum of its proper divisors (500562754119).

1061010510561 is a wasteful number, since it uses less digits than its factorization.

1061010510561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122705 (or 122702 counting only the distinct ones).

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

The spelling of 1061010510561 in words is "one trillion, sixty-one billion, ten million, five hundred ten thousand, five hundred sixty-one".