2584233078025 has 27 divisors (see below), whose sum is σ = 3281142989781. Its totient is φ = 2019037638240.

The previous prime is 2584233078013. The next prime is 2584233078043. The reversal of 2584233078025 is 5208703324852.

The square root of 2584233078025 is 1607555.

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

It can be written as a sum of positive squares in 4 ways, for example, as 458842309641 + 2125390768384 = 677379^2 + 1457872^2 .

It is not a de Polignac number, because 2584233078025 - 2¹³ = 2584233069833 is a prime.

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 2584233078025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 345620587 + ... + 345628063.

Almost surely, 2^{2584233078025} is an apocalyptic number.

2584233078025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2584233078025 is the 1607555-th square number.

2584233078025 is the 803778-th centered octagonal number.

It is an amenable number.

2584233078025 is a deficient number, since it is larger than the sum of its proper divisors (696909911756).

2584233078025 is an frugal number, since it uses more digits than its factorization.

2584233078025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15050 (or 7525 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 49.

Multiplying 2584233078025 by its sum of digits (49), we get a square (126627420823225 = 11252885²).

The spelling of 2584233078025 in words is "two trillion, five hundred eighty-four billion, two hundred thirty-three million, seventy-eight thousand, twenty-five".