874432582321 has 27 divisors (see below), whose sum is σ = 925047601569. Its totient is φ = 826518429792.

The previous prime is 874432582297. The next prime is 874432582327. The reversal of 874432582321 is 123285234478.

The square root of 874432582321 is 935111.

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

874432582321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51899674225 + 822532908096 = 227815^2 + 906936^2 .

It is not a de Polignac number, because 874432582321 - 2²⁷ = 874298364593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (874432582327) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2344323091 + ... + 2344323463.

Almost surely, 2^874432582321 is an apocalyptic number.

874432582321 is the 935111-st square number.

874432582321 is the 467556-th centered octagonal number.

It is an amenable number.

874432582321 is a deficient number, since it is larger than the sum of its proper divisors (50615019248).

874432582321 is an frugal number, since it uses more digits than its factorization.

874432582321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 505 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 49.

Multiplying 874432582321 by its sum of digits (49), we get a square (42847196533729 = 6545777²).

The spelling of 874432582321 in words is "eight hundred seventy-four billion, four hundred thirty-two million, five hundred eighty-two thousand, three hundred twenty-one".