61534564302006 has 24 divisors (see below), whose sum is σ = 137625692203584. Its totient is φ = 19849859452080.

The previous prime is 61534564301989. The next prime is 61534564302047. The reversal of 61534564302006 is 60020346543516.

61534564302006 is a `hidden beast` number, since 6 + 1 + 5 + 3 + 4 + 5 + 6 + 430 + 200 + 6 = 666.

It is a super-2 number, since 2×61534564302006² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55138497921 + ... + 55138499036.

It is an arithmetic number, because the mean of its divisors is an integer number (5734403841816).

Almost surely, 2^{61534564302006} is an apocalyptic number.

61534564302006 is an abundant number, since it is smaller than the sum of its proper divisors (76091127901578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61534564302006 is a wasteful number, since it uses less digits than its factorization.

61534564302006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110276996996 (or 110276996993 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 61534564302006 in words is "sixty-one trillion, five hundred thirty-four billion, five hundred sixty-four million, three hundred two thousand, six".