52002132 has 72 divisors (see below), whose sum is σ = 152028576. Its totient is φ = 13712832.

The previous prime is 52002121. The next prime is 52002143. The reversal of 52002132 is 23120025.

It is an interprime number because it is at equal distance from previous prime (52002121) and next prime (52002143).

52002132 is a modest number, since divided by 2132 gives 520 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4243 + ... + 11045.

It is an arithmetic number, because the mean of its divisors is an integer number (2111508).

Almost surely, 2^52002132 is an apocalyptic number.

52002132 is a gapful number since it is divisible by the number (52) 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 52002132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76014288).

52002132 is an abundant number, since it is smaller than the sum of its proper divisors (100026444).

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

52002132 is a wasteful number, since it uses less digits than its factorization.

52002132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6837 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 52002132 is about 7211.2503770151. The cubic root of 52002132 is about 373.2562167106.

Adding to 52002132 its reverse (23120025), we get a palindrome (75122157).

The spelling of 52002132 in words is "fifty-two million, two thousand, one hundred thirty-two".