5417561000 has 64 divisors (see below), whose sum is σ = 12724508160. Its totient is φ = 2158920000.

The previous prime is 5417560999. The next prime is 5417561011. The reversal of 5417561000 is 1657145.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261005 + ... + 280995.

It is an arithmetic number, because the mean of its divisors is an integer number (198820440).

Almost surely, 2^5417561000 is an apocalyptic number.

5417561000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5417561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6362254080).

5417561000 is an abundant number, since it is smaller than the sum of its proper divisors (7306947160).

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

5417561000 is a wasteful number, since it uses less digits than its factorization.

5417561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20283 (or 20269 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 5417561000 is about 73604.0827671944. The cubic root of 5417561000 is about 1756.3103878629.

The spelling of 5417561000 in words is "five billion, four hundred seventeen million, five hundred sixty-one thousand".