52705600 has 42 divisors (see below), whose sum is σ = 129692654. Its totient is φ = 21081600.

The previous prime is 52705579. The next prime is 52705607. The reversal of 52705600 is 650725.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11128896 + 41576704 = 3336^2 + 6448^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52705607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14871 + ... + 18070.

Almost surely, 2^52705600 is an apocalyptic number.

52705600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52705600 is an abundant number, since it is smaller than the sum of its proper divisors (76987054).

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

52705600 is a wasteful number, since it uses less digits than its factorization.

52705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32963 (or 32948 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 52705600 is about 7259.8622576465. The cubic root of 52705600 is about 374.9317801828.

The spelling of 52705600 in words is "fifty-two million, seven hundred five thousand, six hundred".