1002133632 has 64 divisors (see below), whose sum is σ = 2683008000. Its totient is φ = 331398144.

The previous prime is 1002133579. The next prime is 1002133637. The reversal of 1002133632 is 2363312001.

1002133632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1002133632² = 2008543632771022848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002133599 and 1002133608.

It is not an unprimeable number, because it can be changed into a prime (1002133637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38494 + ... + 59042.

It is an arithmetic number, because the mean of its divisors is an integer number (41922000).

Almost surely, 2^1002133632 is an apocalyptic number.

1002133632 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 1002133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341504000).

1002133632 is an abundant number, since it is smaller than the sum of its proper divisors (1680874368).

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

1002133632 is a wasteful number, since it uses less digits than its factorization.

1002133632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20693 (or 20681 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 1002133632 is about 31656.4943100148. The cubic root of 1002133632 is about 1000.7107054448.

Adding to 1002133632 its reverse (2363312001), we get a palindrome (3365445633).

The spelling of 1002133632 in words is "one billion, two million, one hundred thirty-three thousand, six hundred thirty-two".