61505661166101 has 12 divisors (see below), whose sum is σ = 88854864261228. Its totient is φ = 40997610870144.

The previous prime is 61505661166091. The next prime is 61505661166121. The reversal of 61505661166101 is 10166116650516.

61505661166101 is a `hidden beast` number, since 6 + 1 + 5 + 0 + 566 + 11 + 66 + 10 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14376420140625 + 47129241025476 = 3791625^2 + 6865074^2 .

It is not a de Polignac number, because 61505661166101 - 2³⁴ = 61488481296917 is a prime.

It is a super-2 number, since 2×61505661166101² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61505661166121) 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, 513540180 + ... + 513659933.

It is an arithmetic number, because the mean of its divisors is an integer number (7404572021769).

Almost surely, 2^{61505661166101} is an apocalyptic number.

It is an amenable number.

61505661166101 is a deficient number, since it is larger than the sum of its proper divisors (27349203095127).

61505661166101 is a wasteful number, since it uses less digits than its factorization.

61505661166101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027206772 (or 1027206769 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 61505661166101 in words is "sixty-one trillion, five hundred five billion, six hundred sixty-one million, one hundred sixty-six thousand, one hundred one".