51502400 has 42 divisors (see below), whose sum is σ = 126732030. Its totient is φ = 20600320.

The previous prime is 51502397. The next prime is 51502403. The reversal of 51502400 is 420515.

It is an interprime number because it is at equal distance from previous prime (51502397) and next prime (51502403).

It can be written as a sum of positive squares in 3 ways, for example, as 1149184 + 50353216 = 1072^2 + 7096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51502403) by changing a digit.

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, 14495 + ... + 17694.

Almost surely, 2^51502400 is an apocalyptic number.

51502400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51502400 is an abundant number, since it is smaller than the sum of its proper divisors (75229630).

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

51502400 is a wasteful number, since it uses less digits than its factorization.

51502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32211 (or 32196 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 51502400 is about 7176.5172611790. The cubic root of 51502400 is about 372.0567223792.

Adding to 51502400 its reverse (420515), we get a palindrome (51922915).

The spelling of 51502400 in words is "fifty-one million, five hundred two thousand, four hundred".