52519216360 has 256 divisors, whose sum is σ = 134879492160. Its totient is φ = 18274222080.

The previous prime is 52519216333. The next prime is 52519216417. The reversal of 52519216360 is 6361291525.

It can be written as a sum of positive squares in 32 ways, for example, as 20301120324 + 32218096036 = 142482^2 + 179494^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85675414 + ... + 85676026.

Almost surely, 2^52519216360 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 52519216360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67439746080).

52519216360 is an abundant number, since it is smaller than the sum of its proper divisors (82360275800).

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

52519216360 is a wasteful number, since it uses less digits than its factorization.

52519216360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 52519216360 in words is "fifty-two billion, five hundred nineteen million, two hundred sixteen thousand, three hundred sixty".