61540166961 has 32 divisors (see below), whose sum is σ = 112209995520. Its totient is φ = 32460746112.

The previous prime is 61540166953. The next prime is 61540167019. The reversal of 61540166961 is 16966104516.

61540166961 is a `hidden beast` number, since 6 + 1 + 540 + 16 + 6 + 96 + 1 = 666.

It is not a de Polignac number, because 61540166961 - 2³ = 61540166953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61540166461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12520980 + ... + 12525893.

It is an arithmetic number, because the mean of its divisors is an integer number (3506562360).

Almost surely, 2^61540166961 is an apocalyptic number.

It is an amenable number.

61540166961 is a deficient number, since it is larger than the sum of its proper divisors (50669828559).

61540166961 is a wasteful number, since it uses less digits than its factorization.

61540166961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25046902 (or 25046896 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 61540166961 in words is "sixty-one billion, five hundred forty million, one hundred sixty-six thousand, nine hundred sixty-one".