2583063252 has 288 divisors, whose sum is σ = 8394946560. Its totient is φ = 650384640.

The previous prime is 2583063233. The next prime is 2583063253. The reversal of 2583063252 is 2523603852.

2583063252 is a `hidden beast` number, since 25 + 8 + 306 + 325 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2583063253) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23697774 + ... + 23697882.

It is an arithmetic number, because the mean of its divisors is an integer number (29149120).

Almost surely, 2^2583063252 is an apocalyptic number.

2583063252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2583063252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197473280).

2583063252 is an abundant number, since it is smaller than the sum of its proper divisors (5811883308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2583063252 is a wasteful number, since it uses less digits than its factorization.

2583063252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2583063252 is about 50823.8453090673. The cubic root of 2583063252 is about 1372.0765660053.

The spelling of 2583063252 in words is "two billion, five hundred eighty-three million, sixty-three thousand, two hundred fifty-two".