51030900 has 54 divisors (see below), whose sum is σ = 159956342. Its totient is φ = 13608000.

The previous prime is 51030893. The next prime is 51030901. The reversal of 51030900 is 903015.

51030900 = T₂₀₀₈ + T₂₀₀₉ + ... + T₂₀₃₂.

51030900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5143824 + 45887076 = 2268^2 + 6774^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a cake number, because a cake can be divided into 51030900 parts by 674 planar cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51030901) 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 17 ways as a sum of consecutive naturals, for example, 27451 + ... + 29250.

Almost surely, 2^51030900 is an apocalyptic number.

51030900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51030900 is an abundant number, since it is smaller than the sum of its proper divisors (108925442).

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

51030900 is a wasteful number, since it uses less digits than its factorization.

51030900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56721 (or 56711 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 51030900 is about 7143.5915336755. The cubic root of 51030900 is about 370.9178575442.

Adding to 51030900 its reverse (903015), we get a palindrome (51933915).

The spelling of 51030900 in words is "fifty-one million, thirty thousand, nine hundred".