51035700 has 72 divisors (see below), whose sum is σ = 156364992. Its totient is φ = 12807680.

The previous prime is 51035587. The next prime is 51035713. The reversal of 51035700 is 753015.

It is a happy number.

51035700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 97 + ... + 10103.

It is an arithmetic number, because the mean of its divisors is an integer number (2171736).

Almost surely, 2^51035700 is an apocalyptic number.

51035700 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 51035700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78182496).

51035700 is an abundant number, since it is smaller than the sum of its proper divisors (105329292).

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

51035700 is a wasteful number, since it uses less digits than its factorization.

51035700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10041 (or 10034 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 51035700 is about 7143.9274912334. The cubic root of 51035700 is about 370.9294867721.

Adding to 51035700 its reverse (753015), we get a palindrome (51788715).

The spelling of 51035700 in words is "fifty-one million, thirty-five thousand, seven hundred".