86403513031801 has 15 divisors (see below), whose sum is σ = 100798632147503. Its totient is φ = 74059763622600.

The previous prime is 86403513031757. The next prime is 86403513031813. The reversal of 86403513031801 is 10813031530468.

The square root of 86403513031801 is 9295349.

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., 41772294996201 + 44631218035600 = 6463149^2 + 6680660^2 .

It is not a de Polignac number, because 86403513031801 - 2²⁹ = 86402976160889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86403514031801) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 455377251 + ... + 455566951.

Almost surely, 2^{86403513031801} is an apocalyptic number.

86403513031801 is the 9295349-th square number.

86403513031801 is the 4647675-th centered octagonal number.

It is an amenable number.

86403513031801 is a deficient number, since it is larger than the sum of its proper divisors (14395119115702).

86403513031801 is an frugal number, since it uses more digits than its factorization.

86403513031801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379430 (or 189708 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 86403513031801 in words is "eighty-six trillion, four hundred three billion, five hundred thirteen million, thirty-one thousand, eight hundred one".