1585532052 has 72 divisors (see below), whose sum is σ = 4326121800. Its totient is φ = 486731520.

The previous prime is 1585532023. The next prime is 1585532093. The reversal of 1585532052 is 2502355851.

1585532052 is a `hidden beast` number, since 1 + 58 + 553 + 2 + 0 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64064016 + 1521468036 = 8004^2 + 39006^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1585531998 and 1585532016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212074 + ... + 219422.

It is an arithmetic number, because the mean of its divisors is an integer number (60085025).

Almost surely, 2^1585532052 is an apocalyptic number.

1585532052 is a gapful number since it is divisible by the number (12) 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 1585532052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163060900).

1585532052 is an abundant number, since it is smaller than the sum of its proper divisors (2740589748).

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

1585532052 is a wasteful number, since it uses less digits than its factorization.

1585532052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7833 (or 7828 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 1585532052 is about 39818.7399599736. The cubic root of 1585532052 is about 1166.0710374925.

The spelling of 1585532052 in words is "one billion, five hundred eighty-five million, five hundred thirty-two thousand, fifty-two".