1061436341601 has 12 divisors (see below), whose sum is σ = 1533475339812. Its totient is φ = 707490606336.

The previous prime is 1061436341587. The next prime is 1061436341617.

1061436341601 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 4 + 3 + 6 + 3 + 41 + 601 = 666.

1061436341601 is nontrivially palindromic in base 10.

1061436341601 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 2 ways, for example, as 956718734400 + 104717607201 = 978120^2 + 323601^2 .

It is not a de Polignac number, because 1061436341601 - 2¹⁴ = 1061436325217 is a prime.

It is a super-2 number, since 2×1061436341601² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1061436349601) 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, 11084796 + ... + 11180141.

It is an arithmetic number, because the mean of its divisors is an integer number (127789611651).

Almost surely, 2^{1061436341601} is an apocalyptic number.

It is an amenable number.

1061436341601 is a deficient number, since it is larger than the sum of its proper divisors (472038998211).

1061436341601 is a wasteful number, since it uses less digits than its factorization.

1061436341601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22270240 (or 22270237 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1061436341601 in words is "one trillion, sixty-one billion, four hundred thirty-six million, three hundred forty-one thousand, six hundred one".