12582333241 has 9 divisors (see below), whose sum is σ = 13155873871. Its totient is φ = 12032807512.

The previous prime is 12582333223. The next prime is 12582333263. The reversal of 12582333241 is 14233328521.

The square root of 12582333241 is 112171.

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., 3480410025 + 9101923216 = 58995^2 + 95404^2 .

It is not a de Polignac number, because 12582333241 - 2⁵ = 12582333209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12582333197 and 12582333206.

It is not an unprimeable number, because it can be changed into a prime (12582331241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2577495 + ... + 2582371.

Almost surely, 2^12582333241 is an apocalyptic number.

12582333241 is the 112171-st square number.

12582333241 is the 56086-th centered octagonal number.

It is an amenable number.

12582333241 is a deficient number, since it is larger than the sum of its proper divisors (573540630).

12582333241 is an frugal number, since it uses more digits than its factorization.

12582333241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9800 (or 4900 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The spelling of 12582333241 in words is "twelve billion, five hundred eighty-two million, three hundred thirty-three thousand, two hundred forty-one".