1582285752 has 64 divisors (see below), whose sum is σ = 4449549600. Its totient is φ = 527422752.

The previous prime is 1582285739. The next prime is 1582285753. The reversal of 1582285752 is 2575822851.

1582285752 is a `hidden beast` number, since 1 + 58 + 2 + 28 + 575 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1582285698 and 1582285707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1582285753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27723 + ... + 62714.

Almost surely, 2^1582285752 is an apocalyptic number.

1582285752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1582285752 is an abundant number, since it is smaller than the sum of its proper divisors (2867263848).

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

1582285752 is an frugal number, since it uses more digits than its factorization.

1582285752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90464 (or 90442 counting only the distinct ones).

The product of its digits is 448000, while the sum is 45.

The square root of 1582285752 is about 39777.9556035752. The cubic root of 1582285752 is about 1165.2746690995.

The spelling of 1582285752 in words is "one billion, five hundred eighty-two million, two hundred eighty-five thousand, seven hundred fifty-two".