5206509504 has 504 divisors, whose sum is σ = 18619317600. Its totient is φ = 1389975552.

The previous prime is 5206509493. The next prime is 5206509509. The reversal of 5206509504 is 4059056025.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5206509509) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71322012 + ... + 71322084.

Almost surely, 2^5206509504 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 5206509504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9309658800).

5206509504 is an abundant number, since it is smaller than the sum of its proper divisors (13412808096).

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

5206509504 is a wasteful number, since it uses less digits than its factorization.

5206509504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 5206509504 is about 72156.1466820395. The cubic root of 5206509504 is about 1733.2008306339.

The spelling of 5206509504 in words is "five billion, two hundred six million, five hundred nine thousand, five hundred four".