2583197916289 has 3 divisors (see below), whose sum is σ = 2583199523523. Its totient is φ = 2583196309056.

The previous prime is 2583197916287. The next prime is 2583197916359. The reversal of 2583197916289 is 9826197913852.

The square root of 2583197916289 is 1607233.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 2273385450625 + 309812465664 = 1507775^2 + 556608^2 .

It is not a de Polignac number, because 2583197916289 - 2¹ = 2583197916287 is a prime.

It is a super-2 number, since 2×2583197916289² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2583197916281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 803617 + ... + 2410849.

It is an arithmetic number, because the mean of its divisors is an integer number (861066507841).

Almost surely, 2^{2583197916289} is an apocalyptic number.

2583197916289 is the 1607233-rd square number.

2583197916289 is the 803617-th centered octagonal number.

It is an amenable number.

2583197916289 is a deficient number, since it is larger than the sum of its proper divisors (1607234).

2583197916289 is an frugal number, since it uses more digits than its factorization.

2583197916289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214466 (or 1607233 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 70.

The spelling of 2583197916289 in words is "two trillion, five hundred eighty-three billion, one hundred ninety-seven million, nine hundred sixteen thousand, two hundred eighty-nine".