51355300 has 54 divisors (see below), whose sum is σ = 118448582. Its totient is φ = 19322880.

The previous prime is 51355289. The next prime is 51355307. The reversal of 51355300 is 355315.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 2802276 + 48553024 = 1674^2 + 6968^2 .

It is not an unprimeable number, because it can be changed into a prime (51355307) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28012 + ... + 29788.

Almost surely, 2^51355300 is an apocalyptic number.

51355300 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 51355300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59224291).

51355300 is an abundant number, since it is smaller than the sum of its proper divisors (67093282).

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

51355300 is a wasteful number, since it uses less digits than its factorization.

51355300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 22.

The square root of 51355300 is about 7166.2612288417. The cubic root of 51355300 is about 371.7021645821.

The spelling of 51355300 in words is "fifty-one million, three hundred fifty-five thousand, three hundred".