51508800 has 378 divisors, whose sum is σ = 215881458. Its totient is φ = 11612160.

The previous prime is 51508789. The next prime is 51508811. The reversal of 51508800 is 880515.

It is an interprime number because it is at equal distance from previous prime (51508789) and next prime (51508811).

It can be written as a sum of positive squares in 3 ways, for example, as 4064256 + 47444544 = 2016^2 + 6888^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 53 ways as a sum of consecutive naturals, for example, 705564 + ... + 705636.

Almost surely, 2^51508800 is an apocalyptic number.

51508800 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 51508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107940729).

51508800 is an abundant number, since it is smaller than the sum of its proper divisors (164372658).

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

51508800 is a wasteful number, since it uses less digits than its factorization.

51508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 51508800 is about 7176.9631460667. The cubic root of 51508800 is about 372.0721330811.

The spelling of 51508800 in words is "fifty-one million, five hundred eight thousand, eight hundred".