51405300 has 144 divisors (see below), whose sum is σ = 168044800. Its totient is φ = 13478400.

The previous prime is 51405271. The next prime is 51405337. The reversal of 51405300 is 350415.

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

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 47 ways as a sum of consecutive naturals, for example, 213180 + ... + 213420.

Almost surely, 2^51405300 is an apocalyptic number.

51405300 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 51405300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84022400).

51405300 is an abundant number, since it is smaller than the sum of its proper divisors (116639500).

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

51405300 is a wasteful number, since it uses less digits than its factorization.

51405300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 51405300 is about 7169.7489495798. The cubic root of 51405300 is about 371.8227563545.

Adding to 51405300 its reverse (350415), we get a palindrome (51755715).

It can be divided in two parts, 5140 and 5300, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 51405300 in words is "fifty-one million, four hundred five thousand, three hundred".