51133200 has 60 divisors (see below), whose sum is σ = 163800528. Its totient is φ = 13635200.

The previous prime is 51133193. The next prime is 51133213. The reversal of 51133200 is 233115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×51133200² = 5229208284480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 51133200.

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, 20106 + ... + 22505.

Almost surely, 2^51133200 is an apocalyptic number.

51133200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51133200 is an abundant number, since it is smaller than the sum of its proper divisors (112667328).

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

51133200 is a wasteful number, since it uses less digits than its factorization.

51133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42632 (or 42621 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 51133200 is about 7150.7482125999. The cubic root of 51133200 is about 371.1655477958.

Adding to 51133200 its reverse (233115), we get a palindrome (51366315).

The spelling of 51133200 in words is "fifty-one million, one hundred thirty-three thousand, two hundred".