51888100 has 72 divisors (see below), whose sum is σ = 125804448. Its totient is φ = 18412800.

The previous prime is 51888091. The next prime is 51888103. The reversal of 51888100 is 188815.

51888100 = T₁₆₅ + T₁₆₆ + ... + T₆₈₀.

It is a happy number.

It is a super-2 number, since 2×51888100² = 5384749843220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51888103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 46752 + ... + 47848.

It is an arithmetic number, because the mean of its divisors is an integer number (1747284).

Almost surely, 2^51888100 is an apocalyptic number.

51888100 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 51888100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62902224).

51888100 is an abundant number, since it is smaller than the sum of its proper divisors (73916348).

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

51888100 is a wasteful number, since it uses less digits than its factorization.

51888100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 31.

The square root of 51888100 is about 7203.3395033137. The cubic root of 51888100 is about 372.9831875063.

The spelling of 51888100 in words is "fifty-one million, eight hundred eighty-eight thousand, one hundred".