52613951008320 has 280 divisors, whose sum is σ = 201553779638904. Its totient is φ = 12951126319104.

The previous prime is 52613951008253. The next prime is 52613951008331. The reversal of 52613951008320 is 2380015931625.

52613951008320 is a `hidden beast` number, since 5 + 2 + 6 + 1 + 39 + 510 + 0 + 83 + 20 = 666.

52613951008320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3259729142784 + 49354221865536 = 1805472^2 + 7025256^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 77734549 + ... + 78408468.

Almost surely, 2^{52613951008320} is an apocalyptic number.

It is an amenable number.

52613951008320 is an abundant number, since it is smaller than the sum of its proper divisors (148939828630584).

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

52613951008320 is a wasteful number, since it uses less digits than its factorization.

52613951008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156143059 (or 156143040 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

Adding to 52613951008320 its reverse (2380015931625), we get a palindrome (54993966939945).

The spelling of 52613951008320 in words is "fifty-two trillion, six hundred thirteen billion, nine hundred fifty-one million, eight thousand, three hundred twenty".