5205261032208 has 120 divisors (see below), whose sum is σ = 15428535153408. Its totient is φ = 1632586669056.

The previous prime is 5205261032161. The next prime is 5205261032239. The reversal of 5205261032208 is 8022301625025.

It is a happy number.

5205261032208 is a `hidden beast` number, since 5 + 2 + 0 + 5 + 2 + 610 + 32 + 2 + 0 + 8 = 666.

It is a super-2 number, since 2×5205261032208² (a number of 26 digits) contains 22 as substring.

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

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, 8939385 + ... + 9503847.

Almost surely, 2^{5205261032208} 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 5205261032208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7714267576704).

5205261032208 is an abundant number, since it is smaller than the sum of its proper divisors (10223274121200).

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

5205261032208 is a wasteful number, since it uses less digits than its factorization.

5205261032208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568261 (or 568252 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 5205261032208 in words is "five trillion, two hundred five billion, two hundred sixty-one million, thirty-two thousand, two hundred eight".