52001100 has 108 divisors (see below), whose sum is σ = 171629640. Its totient is φ = 13132800.

The previous prime is 52001099. The next prime is 52001101. The reversal of 52001100 is 110025.

It is a happy number.

52001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52001099) and next prime (52001101).

It is a super-2 number, since 2×52001100² = 5408228802420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (52001101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 15580 + ... + 18620.

Almost surely, 2^52001100 is an apocalyptic number.

52001100 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 52001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85814820).

52001100 is an abundant number, since it is smaller than the sum of its proper divisors (119628540).

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

52001100 is a wasteful number, since it uses less digits than its factorization.

52001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 52001100 is about 7211.1788218016. The cubic root of 52001100 is about 373.2537475621.

Adding to 52001100 its reverse (110025), we get a palindrome (52111125).

The spelling of 52001100 in words is "fifty-two million, one thousand, one hundred".