5202032000 has 192 divisors, whose sum is σ = 14221509120. Its totient is φ = 1890944000.

The previous prime is 5202031997. The next prime is 5202032009. The reversal of 5202032000 is 2302025.

It is a super-2 number, since 2×5202032000² = 54122273858048000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5202032009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1934657 + ... + 1937343.

It is an arithmetic number, because the mean of its divisors is an integer number (74070360).

Almost surely, 2^5202032000 is an apocalyptic number.

5202032000 is a gapful number since it is divisible by the number (50) 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 5202032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110754560).

5202032000 is an abundant number, since it is smaller than the sum of its proper divisors (9019477120).

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

5202032000 is a wasteful number, since it uses less digits than its factorization.

5202032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 5202032000 is about 72125.1135181082. The cubic root of 5202032000 is about 1732.7038476863.

Adding to 5202032000 its reverse (2302025), we get a palindrome (5204334025).

It can be divided in two parts, 52020 and 32000, that multiplied together give a square (1664640000 = 40800²).

The spelling of 5202032000 in words is "five billion, two hundred two million, thirty-two thousand".