2582001221 has 8 divisors (see below), whose sum is σ = 2598096384. Its totient is φ = 2565933280.

The previous prime is 2582001211. The next prime is 2582001251. The reversal of 2582001221 is 1221002852.

2582001221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2582001221 - 2¹⁸ = 2581739077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582001211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203366 + ... + 215688.

It is an arithmetic number, because the mean of its divisors is an integer number (324762048).

Almost surely, 2^2582001221 is an apocalyptic number.

It is an amenable number.

2582001221 is a deficient number, since it is larger than the sum of its proper divisors (16095163).

2582001221 is a wasteful number, since it uses less digits than its factorization.

2582001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13611.

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 2582001221 is about 50813.3960781997. The cubic root of 2582001221 is about 1371.8884963300. Note that the first 3 decimals are identical.

The spelling of 2582001221 in words is "two billion, five hundred eighty-two million, one thousand, two hundred twenty-one".