5101006009981 has 12 divisors (see below), whose sum is σ = 5933866105980. Its totient is φ = 4372259337600.

The previous prime is 5101006009963. The next prime is 5101006009987. The reversal of 5101006009981 is 1899006001015.

It can be written as a sum of positive squares in 2 ways, for example, as 2506313261956 + 2594692748025 = 1583134^2 + 1610805^2 .

It is not a de Polignac number, because 5101006009981 - 2¹⁵ = 5101005977213 is a prime.

It is a super-3 number, since 3×5101006009981³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5101006009987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8711331 + ... + 9278431.

It is an arithmetic number, because the mean of its divisors is an integer number (494488842165).

Almost surely, 2^{5101006009981} is an apocalyptic number.

It is an amenable number.

5101006009981 is a deficient number, since it is larger than the sum of its proper divisors (832860095999).

5101006009981 is a wasteful number, since it uses less digits than its factorization.

5101006009981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750684 (or 750677 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 40.

The spelling of 5101006009981 in words is "five trillion, one hundred one billion, six million, nine thousand, nine hundred eighty-one".