517220000 has 120 divisors (see below), whose sum is σ = 1388705472. Its totient is φ = 188000000.

The previous prime is 517219991. The next prime is 517220009. The reversal of 517220000 is 22715.

It is an interprime number because it is at equal distance from previous prime (517219991) and next prime (517220009).

It is not an unprimeable number, because it can be changed into a prime (517220009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 218825 + ... + 221175.

Almost surely, 2^517220000 is an apocalyptic number.

517220000 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 517220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694352736).

517220000 is an abundant number, since it is smaller than the sum of its proper divisors (871485472).

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

517220000 is a wasteful number, since it uses less digits than its factorization.

517220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 517220000 is about 22742.4712817231. The cubic root of 517220000 is about 802.7095624781.

Adding to 517220000 its reverse (22715), we get a palindrome (517242715).

The spelling of 517220000 in words is "five hundred seventeen million, two hundred twenty thousand".