51142900 has 36 divisors (see below), whose sum is σ = 111881728. Its totient is φ = 20291040.

The previous prime is 51142853. The next prime is 51142913. The reversal of 51142900 is 924115.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10687 + ... + 14713.

Almost surely, 2^51142900 is an apocalyptic number.

51142900 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 51142900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55940864).

51142900 is an abundant number, since it is smaller than the sum of its proper divisors (60738828).

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

51142900 is a wasteful number, since it uses less digits than its factorization.

51142900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 51142900 is about 7151.4264311395. The cubic root of 51142900 is about 371.1890164240.

The spelling of 51142900 in words is "fifty-one million, one hundred forty-two thousand, nine hundred".