1516329516 has 72 divisors (see below), whose sum is σ = 3848841360. Its totient is φ = 464415744.

The previous prime is 1516329499. The next prime is 1516329571. The reversal of 1516329516 is 6159236151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470920 + ... + 474128.

It is an arithmetic number, because the mean of its divisors is an integer number (53456130).

Almost surely, 2^1516329516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1516329516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924420680).

1516329516 is an abundant number, since it is smaller than the sum of its proper divisors (2332511844).

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

1516329516 is a wasteful number, since it uses less digits than its factorization.

1516329516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475 (or 3460 counting only the distinct ones).

The product of its digits is 48600, while the sum is 39.

The square root of 1516329516 is about 38940.0759629459. The cubic root of 1516329516 is about 1148.8531770784.

The spelling of 1516329516 in words is "one billion, five hundred sixteen million, three hundred twenty-nine thousand, five hundred sixteen".