51653120 has 40 divisors (see below), whose sum is σ = 123852564. Its totient is φ = 20660224.

The previous prime is 51653113. The next prime is 51653137. The reversal of 51653120 is 2135615.

It can be written as a sum of positive squares in 2 ways, for example, as 51609856 + 43264 = 7184^2 + 208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7529 + ... + 12648.

Almost surely, 2^51653120 is an apocalyptic number.

It is an amenable number.

51653120 is an abundant number, since it is smaller than the sum of its proper divisors (72199444).

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

51653120 is an equidigital number, since it uses as much as digits as its factorization.

51653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20200 (or 20184 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 51653120 is about 7187.0105050709. The cubic root of 51653120 is about 372.4193059746.

Adding to 51653120 its reverse (2135615), we get a palindrome (53788735).

The spelling of 51653120 in words is "fifty-one million, six hundred fifty-three thousand, one hundred twenty".