5209643520 has 640 divisors, whose sum is σ = 20152281600. Its totient is φ = 1271660544.

The previous prime is 5209643519. The next prime is 5209643521. The reversal of 5209643520 is 253469025.

5209643520 is a `hidden beast` number, since 5 + 2 + 0 + 9 + 643 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5209643519) and next prime (5209643521).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-5 number, since 5×5209643520⁵ (a number of 50 digits) contains 55555 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5209643521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46102984 + ... + 46103096.

It is an arithmetic number, because the mean of its divisors is an integer number (31487940).

Almost surely, 2^5209643520 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 5209643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10076140800).

5209643520 is an abundant number, since it is smaller than the sum of its proper divisors (14942638080).

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

5209643520 is a wasteful number, since it uses less digits than its factorization.

5209643520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5209643520 is about 72177.8603174131. The cubic root of 5209643520 is about 1733.5485229220.

The spelling of 5209643520 in words is "five billion, two hundred nine million, six hundred forty-three thousand, five hundred twenty".