31465379578801 has 27 divisors (see below), whose sum is σ = 38264291407083. Its totient is φ = 25796962070880.

The previous prime is 31465379578783. The next prime is 31465379578807. The reversal of 31465379578801 is 10887597356413.

The square root of 31465379578801 is 5609401.

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., 4522635969201 + 26942743609600 = 2126649^2 + 5190640^2 .

It is not a de Polignac number, because 31465379578801 - 2¹⁷ = 31465379447729 is a prime.

It is a super-2 number, since 2×31465379578801² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31465379578807) 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, 903096141 + ... + 903130981.

Almost surely, 2^{31465379578801} is an apocalyptic number.

31465379578801 is the 5609401-st square number.

31465379578801 is the 2804701-st centered octagonal number.

It is an amenable number.

31465379578801 is a deficient number, since it is larger than the sum of its proper divisors (6798911828282).

31465379578801 is an frugal number, since it uses more digits than its factorization.

31465379578801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69742 (or 34871 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 67.

The spelling of 31465379578801 in words is "thirty-one trillion, four hundred sixty-five billion, three hundred seventy-nine million, five hundred seventy-eight thousand, eight hundred one".