52925600 has 144 divisors (see below), whose sum is σ = 159239808. Its totient is φ = 16727040.

The previous prime is 52925591. The next prime is 52925617. The reversal of 52925600 is 652925.

It is a super-2 number, since 2×52925600² = 5602238270720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72437 + ... + 73163.

It is an arithmetic number, because the mean of its divisors is an integer number (1105832).

Almost surely, 2^52925600 is an apocalyptic number.

52925600 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 52925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79619904).

52925600 is an abundant number, since it is smaller than the sum of its proper divisors (106314208).

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

52925600 is a wasteful number, since it uses less digits than its factorization.

52925600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 52925600 is about 7274.9982817867. The cubic root of 52925600 is about 375.4527272888.

It can be divided in two parts, 529 and 25600, that multiplied together give a square (13542400 = 3680²).

The spelling of 52925600 in words is "fifty-two million, nine hundred twenty-five thousand, six hundred".