5208417613504 has 224 divisors, whose sum is σ = 12710329712640. Its totient is φ = 2067721344000.

The previous prime is 5208417613429. The next prime is 5208417613601. The reversal of 5208417613504 is 4053167148025.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×5208417613504² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460468009 + ... + 460479319.

It is an arithmetic number, because the mean of its divisors is an integer number (56742543360).

Almost surely, 2^{5208417613504} 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 5208417613504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6355164856320).

5208417613504 is an abundant number, since it is smaller than the sum of its proper divisors (7501912099136).

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

5208417613504 is a wasteful number, since it uses less digits than its factorization.

5208417613504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12547 (or 12537 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 5208417613504 in words is "five trillion, two hundred eight billion, four hundred seventeen million, six hundred thirteen thousand, five hundred four".