1516820217 has 64 divisors (see below), whose sum is σ = 2406512640. Its totient is φ = 839808000.

The previous prime is 1516820213. The next prime is 1516820219. The reversal of 1516820217 is 7120286151.

It is not a de Polignac number, because 1516820217 - 2² = 1516820213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1516820213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3502833 + ... + 3503265.

It is an arithmetic number, because the mean of its divisors is an integer number (37601760).

Almost surely, 2^1516820217 is an apocalyptic number.

It is an amenable number.

1516820217 is a deficient number, since it is larger than the sum of its proper divisors (889692423).

1516820217 is a wasteful number, since it uses less digits than its factorization.

1516820217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654.

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 1516820217 is about 38946.3761728867. The cubic root of 1516820217 is about 1148.9770909104.

The spelling of 1516820217 in words is "one billion, five hundred sixteen million, eight hundred twenty thousand, two hundred seventeen".