1631517000066 has 80 divisors (see below), whose sum is σ = 3815436360384. Its totient is φ = 520100878176.

The previous prime is 1631517000059. The next prime is 1631517000077. The reversal of 1631517000066 is 6600007151361.

1631517000066 is a `hidden beast` number, since 1 + 631 + 5 + 17 + 0 + 0 + 0 + 0 + 6 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22569556 + ... + 22641728.

Almost surely, 2^{1631517000066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1631517000066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907718180192).

1631517000066 is an abundant number, since it is smaller than the sum of its proper divisors (2183919360318).

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

1631517000066 is a wasteful number, since it uses less digits than its factorization.

1631517000066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78277 (or 78268 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 1631517000066 in words is "one trillion, six hundred thirty-one billion, five hundred seventeen million, sixty-six", and thus it is an aban number.