51253120 has 64 divisors (see below), whose sum is σ = 124921440. Its totient is φ = 20101120.

The previous prime is 51253117. The next prime is 51253133. The reversal of 51253120 is 2135215.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33165 + ... + 34675.

Almost surely, 2^51253120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62460720).

51253120 is an abundant number, since it is smaller than the sum of its proper divisors (73668320).

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

51253120 is a wasteful number, since it uses less digits than its factorization.

51253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 51253120 is about 7159.1284385741. The cubic root of 51253120 is about 371.4554795947.

Adding to 51253120 its reverse (2135215), we get a palindrome (53388335).

The spelling of 51253120 in words is "fifty-one million, two hundred fifty-three thousand, one hundred twenty".