52355200 has 48 divisors (see below), whose sum is σ = 129341610. Its totient is φ = 20940800.

The previous prime is 52355159. The next prime is 52355213. The reversal of 52355200 is 255325.

It can be written as a sum of positive squares in 3 ways, for example, as 35904064 + 16451136 = 5992^2 + 4056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4981 + ... + 11380.

Almost surely, 2^52355200 is an apocalyptic number.

52355200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52355200 is an abundant number, since it is smaller than the sum of its proper divisors (76986410).

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

52355200 is a wasteful number, since it uses less digits than its factorization.

52355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16385 (or 16368 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 22.

The square root of 52355200 is about 7235.6893244528. The cubic root of 52355200 is about 374.0990519955.

The spelling of 52355200 in words is "fifty-two million, three hundred fifty-five thousand, two hundred".