52661600 has 36 divisors (see below), whose sum is σ = 128562084. Its totient is φ = 21064320.

The previous prime is 52661579. The next prime is 52661603. The reversal of 52661600 is 616625.

It is a super-2 number, since 2×52661600² = 5546488229120000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52661600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52661603) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 32114 + ... + 33713.

It is an arithmetic number, because the mean of its divisors is an integer number (3571169).

Almost surely, 2^52661600 is an apocalyptic number.

52661600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52661600 is an abundant number, since it is smaller than the sum of its proper divisors (75900484).

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

52661600 is a wasteful number, since it uses less digits than its factorization.

52661600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65847 (or 65834 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 52661600 is about 7256.8312644018. The cubic root of 52661600 is about 374.8274168820.

It can be divided in two parts, 526 and 61600, that added together give a palindrome (62126).

The spelling of 52661600 in words is "fifty-two million, six hundred sixty-one thousand, six hundred".