51260800 has 96 divisors (see below), whose sum is σ = 128819880. Its totient is φ = 20152320.

The previous prime is 51260791. The next prime is 51260821. The reversal of 51260800 is 806215.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265504 + ... + 265696.

Almost surely, 2^51260800 is an apocalyptic number.

51260800 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 51260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64409940).

51260800 is an abundant number, since it is smaller than the sum of its proper divisors (77559080).

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

51260800 is a wasteful number, since it uses less digits than its factorization.

51260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 51260800 is about 7159.6647966228. The cubic root of 51260800 is about 371.4740321927.

The spelling of 51260800 in words is "fifty-one million, two hundred sixty thousand, eight hundred".