52729936900 has 27 divisors (see below), whose sum is σ = 114428946261. Its totient is φ = 21091056240.

The previous prime is 52729936841. The next prime is 52729936921. The reversal of 52729936900 is 963992725.

The square root of 52729936900 is 229630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18982777284 + 33747159616 = 137778^2 + 183704^2 .

It is a super-2 number, since 2×52729936900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2284819 + ... + 2307781.

Almost surely, 2^52729936900 is an apocalyptic number.

52729936900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52729936900 is the 229630-th square number.

It is an amenable number.

52729936900 is an abundant number, since it is smaller than the sum of its proper divisors (61699009361).

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

52729936900 is an frugal number, since it uses more digits than its factorization.

52729936900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45940 (or 22970 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 52.

The spelling of 52729936900 in words is "fifty-two billion, seven hundred twenty-nine million, nine hundred thirty-six thousand, nine hundred".