1582052082 has 64 divisors (see below), whose sum is σ = 3456673920. Its totient is φ = 479808000.

The previous prime is 1582052071. The next prime is 1582052099. The reversal of 1582052082 is 2802502851.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3221857 + ... + 3222347.

It is an arithmetic number, because the mean of its divisors is an integer number (54010530).

Almost surely, 2^1582052082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1582052082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728336960).

1582052082 is an abundant number, since it is smaller than the sum of its proper divisors (1874621838).

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

1582052082 is a wasteful number, since it uses less digits than its factorization.

1582052082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019.

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 1582052082 is about 39775.0183155206. The cubic root of 1582052082 is about 1165.2173041689.

The spelling of 1582052082 in words is "one billion, five hundred eighty-two million, fifty-two thousand, eighty-two".