1517121216 has 252 divisors, whose sum is σ = 4908304128. Its totient is φ = 445344768.

The previous prime is 1517121211. The next prime is 1517121247. The reversal of 1517121216 is 6121217151.

1517121216 is a `hidden beast` number, since 1 + 517 + 121 + 21 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1517121216.

It is not an unprimeable number, because it can be changed into a prime (1517121211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3960961 + ... + 3961343.

Almost surely, 2^1517121216 is an apocalyptic number.

1517121216 is a gapful number since it is divisible by the number (16) 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 1517121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454152064).

1517121216 is an abundant number, since it is smaller than the sum of its proper divisors (3391182912).

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

1517121216 is a wasteful number, since it uses less digits than its factorization.

1517121216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 424 counting only the distinct ones).

The product of its digits is 840, while the sum is 27.

The square root of 1517121216 is about 38950.2402559984. The cubic root of 1517121216 is about 1149.0530871903.

Adding to 1517121216 its reverse (6121217151), we get a palindrome (7638338367).

The spelling of 1517121216 in words is "one billion, five hundred seventeen million, one hundred twenty-one thousand, two hundred sixteen".