5130890585101 has 16 divisors (see below), whose sum is σ = 5203365481600.
Its totient is φ = 5058885585600.
The previous prime is 5130890585099. The next prime is 5130890585111. The reversal of 5130890585101 is 1015850980315.
5130890585101 is a nontrivial binomial coefficient, being equal to C(3203402, 2).
It is a cyclic number.
It is not a de Polignac number, because 5130890585101 - 21 = 5130890585099 is a prime.
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5130890585111) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174570715 + ... + 174600103.
It is an arithmetic number, because the mean of its divisors is an integer number (325210342600).
Almost surely, 25130890585101 is an apocalyptic number.
5130890585101 is the 3203401-st triangular number and also the 1601701-st hexagonal number.
5130890585101 is the 1067801-st centered nonagonal number and also the 1013005-th centered decagonal number.
It is an amenable number.
5130890585101 is a deficient number, since it is larger than the sum of its proper divisors (72474896499).
5130890585101 is a wasteful number, since it uses less digits than its factorization.
5130890585101 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 37300.
The product of its (nonzero) digits is 216000, while the sum is 46.
The spelling of 5130890585101 in words is "five trillion, one hundred thirty billion, eight hundred ninety million, five hundred eighty-five thousand, one hundred one".