52531353600 has 288 divisors, whose sum is σ = 189454749120. Its totient is φ = 12734464000.

The previous prime is 52531353593. The next prime is 52531353617. The reversal of 52531353600 is 635313525.

It is a super-2 number, since 2×52531353600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1674055 + ... + 1705145.

It is an arithmetic number, because the mean of its divisors is an integer number (657828990).

Almost surely, 2^52531353600 is an apocalyptic number.

52531353600 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 52531353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94727374560).

52531353600 is an abundant number, since it is smaller than the sum of its proper divisors (136923395520).

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

52531353600 is a wasteful number, since it uses less digits than its factorization.

52531353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31137 (or 31112 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 33.

The spelling of 52531353600 in words is "fifty-two billion, five hundred thirty-one million, three hundred fifty-three thousand, six hundred".