51510400 has 48 divisors (see below), whose sum is σ = 127254690. Its totient is φ = 20602880.

The previous prime is 51510383. The next prime is 51510421. The reversal of 51510400 is 401515.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 39841344 + 11669056 = 6312^2 + 3416^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 5 ways as a sum of consecutive naturals, for example, 4849 + ... + 11248.

Almost surely, 2^51510400 is an apocalyptic number.

51510400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51510400 is an abundant number, since it is smaller than the sum of its proper divisors (75744290).

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

51510400 is a wasteful number, since it uses less digits than its factorization.

51510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16121 (or 16104 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 51510400 is about 7177.0746129604. The cubic root of 51510400 is about 372.0759855571.

Adding to 51510400 its reverse (401515), we get a palindrome (51911915).

The spelling of 51510400 in words is "fifty-one million, five hundred ten thousand, four hundred".