5005364417 has 8 divisors (see below), whose sum is σ = 5482549800. Its totient is φ = 4548484864.

The previous prime is 5005364401. The next prime is 5005364423. The reversal of 5005364417 is 7144635005.

It can be written as a sum of positive squares in 4 ways, for example, as 414488881 + 4590875536 = 20359^2 + 67756^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5005364417 - 2⁴ = 5005364401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5005364437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5075942 + ... + 5076927.

It is an arithmetic number, because the mean of its divisors is an integer number (685318725).

Almost surely, 2^5005364417 is an apocalyptic number.

It is an amenable number.

5005364417 is a deficient number, since it is larger than the sum of its proper divisors (477185383).

5005364417 is a wasteful number, since it uses less digits than its factorization.

5005364417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10152915.

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 5005364417 is about 70748.6001062919. The cubic root of 5005364417 is about 1710.5872630409.

The spelling of 5005364417 in words is "five billion, five million, three hundred sixty-four thousand, four hundred seventeen".