13582000632 has 32 divisors (see below), whose sum is σ = 33962503680. Its totient is φ = 4526333280.

The previous prime is 13582000583. The next prime is 13582000633. The reversal of 13582000632 is 23600028531.

13582000632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13582000632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13582000633) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 52707 + ... + 173037.

It is an arithmetic number, because the mean of its divisors is an integer number (1061328240).

Almost surely, 2^13582000632 is an apocalyptic number.

13582000632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13582000632 is an abundant number, since it is smaller than the sum of its proper divisors (20380503048).

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

13582000632 is a wasteful number, since it uses less digits than its factorization.

13582000632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125043 (or 125039 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 13582000632 in words is "thirteen billion, five hundred eighty-two million, six hundred thirty-two", and thus it is an aban number.