1004752056 has 288 divisors, whose sum is σ = 3362325120. Its totient is φ = 248814720.

The previous prime is 1004751997. The next prime is 1004752069. The reversal of 1004752056 is 6502574001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3272655 + ... + 3272961.

It is an arithmetic number, because the mean of its divisors is an integer number (11674740).

Almost surely, 2^1004752056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004752056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681162560).

1004752056 is an abundant number, since it is smaller than the sum of its proper divisors (2357573064).

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

1004752056 is a wasteful number, since it uses less digits than its factorization.

1004752056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 1004752056 is about 31697.8241524556. The cubic root of 1004752056 is about 1001.5815161548.

The spelling of 1004752056 in words is "one billion, four million, seven hundred fifty-two thousand, fifty-six".