5061001100166 has 96 divisors (see below), whose sum is σ = 12291916665600. Its totient is φ = 1491428773440.

The previous prime is 5061001100161. The next prime is 5061001100167. The reversal of 5061001100166 is 6610011001605.

It is a super-2 number, since 2×5061001100166² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5061001100161) 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, 14323615 + ... + 14672693.

It is an arithmetic number, because the mean of its divisors is an integer number (128040798600).

Almost surely, 2^{5061001100166} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5061001100166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6145958332800).

5061001100166 is an abundant number, since it is smaller than the sum of its proper divisors (7230915565434).

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

5061001100166 is a wasteful number, since it uses less digits than its factorization.

5061001100166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351114 (or 351111 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 5061001100166 in words is "five trillion, sixty-one billion, one million, one hundred thousand, one hundred sixty-six".