1516216417 has 16 divisors (see below), whose sum is σ = 1660234752. Its totient is φ = 1378460160.

The previous prime is 1516216393. The next prime is 1516216423. The reversal of 1516216417 is 7146126151.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1516216417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1516216447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322828 + ... + 327490.

It is an arithmetic number, because the mean of its divisors is an integer number (103764672).

Almost surely, 2^1516216417 is an apocalyptic number.

1516216417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1516216417 is a deficient number, since it is larger than the sum of its proper divisors (144018335).

1516216417 is a wasteful number, since it uses less digits than its factorization.

1516216417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328.

The product of its digits is 10080, while the sum is 34.

The square root of 1516216417 is about 38938.6237173324. The cubic root of 1516216417 is about 1148.8246130636.

The spelling of 1516216417 in words is "one billion, five hundred sixteen million, two hundred sixteen thousand, four hundred seventeen".