5251602960 has 120 divisors (see below), whose sum is σ = 17655220440. Its totient is φ = 1398951936.

The previous prime is 5251602959. The next prime is 5251603003. The reversal of 5251602960 is 692061525.

5251602960 is a `hidden beast` number, since 52 + 516 + 0 + 2 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 571401216 + 4680201744 = 23904^2 + 68412^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 795192 + ... + 801768.

It is an arithmetic number, because the mean of its divisors is an integer number (147126837).

Almost surely, 2^5251602960 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 5251602960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8827610220).

5251602960 is an abundant number, since it is smaller than the sum of its proper divisors (12403617480).

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

5251602960 is a wasteful number, since it uses less digits than its factorization.

5251602960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7705 (or 7696 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5251602960 is about 72467.9443616279. The cubic root of 5251602960 is about 1738.1901911633.

The spelling of 5251602960 in words is "five billion, two hundred fifty-one million, six hundred two thousand, nine hundred sixty".