219285719273401 has 81 divisors (see below), whose sum is σ = 254124486633927. Its totient is φ = 189072361632000.

The previous prime is 219285719273389. The next prime is 219285719273417. The reversal of 219285719273401 is 104372917582912.

The square root of 219285719273401 is 14808299.

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

It can be written as a sum of positive squares in 13 ways, for example, as 163545757827001 + 55739961446400 = 12788501^2 + 7465920^2 .

It is not a de Polignac number, because 219285719273401 - 2²⁵ = 219285685718969 is a prime.

It is a super-2 number, since 2×219285719273401² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

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 219285719273401.

It is not an unprimeable number, because it can be changed into a prime (219285719279401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 288154689861 + ... + 288154690621.

Almost surely, 2^{219285719273401} is an apocalyptic number.

219285719273401 is the 14808299-th square number.

219285719273401 is the 7404150-th centered octagonal number.

It is an amenable number.

219285719273401 is a deficient number, since it is larger than the sum of its proper divisors (34838767360526).

219285719273401 is an frugal number, since it uses more digits than its factorization.

219285719273401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 61.

The spelling of 219285719273401 in words is "two hundred nineteen trillion, two hundred eighty-five billion, seven hundred nineteen million, two hundred seventy-three thousand, four hundred one".