51264980 has 72 divisors (see below), whose sum is σ = 120724632. Its totient is φ = 18164736.

The previous prime is 51264971. The next prime is 51265001. The reversal of 51264980 is 8946215.

It can be written as a sum of positive squares in 12 ways, for example, as 6482116 + 44782864 = 2546^2 + 6692^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51264980.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702224 + ... + 702296.

It is an arithmetic number, because the mean of its divisors is an integer number (1676731).

Almost surely, 2^51264980 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 51264980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60362316).

51264980 is an abundant number, since it is smaller than the sum of its proper divisors (69459652).

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

51264980 is a wasteful number, since it uses less digits than its factorization.

51264980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 51264980 is about 7159.9567037797. The cubic root of 51264980 is about 371.4841290520.

The spelling of 51264980 in words is "fifty-one million, two hundred sixty-four thousand, nine hundred eighty".