52673100 has 72 divisors (see below), whose sum is σ = 153146448. Its totient is φ = 13977600.

The previous prime is 52673099. The next prime is 52673113. The reversal of 52673100 is 137625.

52673100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×52673100² = 5548910927220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100840 + ... + 101360.

It is an arithmetic number, because the mean of its divisors is an integer number (2127034).

Almost surely, 2^52673100 is an apocalyptic number.

52673100 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 52673100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76573224).

52673100 is an abundant number, since it is smaller than the sum of its proper divisors (100473348).

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

52673100 is a wasteful number, since it uses less digits than its factorization.

52673100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 52673100 is about 7257.6235780040. The cubic root of 52673100 is about 374.8546992633.

The spelling of 52673100 in words is "fifty-two million, six hundred seventy-three thousand, one hundred".