51611200 has 42 divisors (see below), whose sum is σ = 126999746. Its totient is φ = 20643840.

The previous prime is 51611177. The next prime is 51611207. The reversal of 51611200 is 211615.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 802816 + 50808384 = 896^2 + 7128^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (51611207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14529 + ... + 17728.

Almost surely, 2^51611200 is an apocalyptic number.

51611200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51611200 is an abundant number, since it is smaller than the sum of its proper divisors (75388546).

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

51611200 is a wasteful number, since it uses less digits than its factorization.

51611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32279 (or 32264 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 51611200 is about 7184.0935405937. The cubic root of 51611200 is about 372.3185308903.

Adding to 51611200 its reverse (211615), we get a palindrome (51822815).

The spelling of 51611200 in words is "fifty-one million, six hundred eleven thousand, two hundred".