61661506106151 has 48 divisors (see below), whose sum is σ = 106878974450400. Its totient is φ = 35031474850176.

The previous prime is 61661506106117. The next prime is 61661506106159. The reversal of 61661506106151 is 15160160516616.

61661506106151 is a `hidden beast` number, since 6 + 1 + 6 + 6 + 15 + 0 + 6 + 10 + 615 + 1 = 666.

It is not a de Polignac number, because 61661506106151 - 2¹⁴ = 61661506089767 is a prime.

It is a super-3 number, since 3×61661506106151³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61661506106097 and 61661506106106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61661506106159) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134474406 + ... + 134932163.

It is an arithmetic number, because the mean of its divisors is an integer number (2226645301050).

Almost surely, 2^{61661506106151} is an apocalyptic number.

61661506106151 is a deficient number, since it is larger than the sum of its proper divisors (45217468344249).

61661506106151 is a wasteful number, since it uses less digits than its factorization.

61661506106151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269406765 (or 269406752 counting only the distinct ones).

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

The spelling of 61661506106151 in words is "sixty-one trillion, six hundred sixty-one billion, five hundred six million, one hundred six thousand, one hundred fifty-one".