5206763520 has 432 divisors, whose sum is σ = 21010150980. Its totient is φ = 1189085184.

The previous prime is 5206763509. The next prime is 5206763533. The reversal of 5206763520 is 253676025.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5170185216 + 36578304 = 71904^2 + 6048^2 .

It is a super-2 number, since 2×5206763520² = 54220772706405580800, which 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 35 ways as a sum of consecutive naturals, for example, 4515264 + ... + 4516416.

Almost surely, 2^5206763520 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 5206763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10505075490).

5206763520 is an abundant number, since it is smaller than the sum of its proper divisors (15803387460).

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

5206763520 is a wasteful number, since it uses less digits than its factorization.

5206763520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5206763520 is about 72157.9068432559. The cubic root of 5206763520 is about 1733.2290167333.

The spelling of 5206763520 in words is "five billion, two hundred six million, seven hundred sixty-three thousand, five hundred twenty".