491582019379201 has 27 divisors (see below), whose sum is σ = 502648234643331. Its totient is φ = 480756201807024.

The previous prime is 491582019379189. The next prime is 491582019379229. The reversal of 491582019379201 is 102973910285194.

The square root of 491582019379201 is 22171649.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 354380060250225 + 137201959128976 = 18824985^2 + 11713324^2 .

It is not a de Polignac number, because 491582019379201 - 2⁵ = 491582019379169 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 491582019379201.

It is not an unprimeable number, because it can be changed into a prime (491582019379271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 572272431910 + ... + 572272432768.

Almost surely, 2^{491582019379201} is an apocalyptic number.

491582019379201 is the 22171649-th square number.

491582019379201 is the 11085825-th centered octagonal number.

It is an amenable number.

491582019379201 is a deficient number, since it is larger than the sum of its proper divisors (11066215264130).

491582019379201 is an frugal number, since it uses more digits than its factorization.

491582019379201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 61.

The spelling of 491582019379201 in words is "four hundred ninety-one trillion, five hundred eighty-two billion, nineteen million, three hundred seventy-nine thousand, two hundred one".