1516835016 has 96 divisors (see below), whose sum is σ = 4220044920. Its totient is φ = 491904000.

The previous prime is 1516835011. The next prime is 1516835039. The reversal of 1516835016 is 6105386151.

1516835016 is a `hidden beast` number, since 1 + 516 + 83 + 50 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1481480100 + 35354916 = 38490^2 + 5946^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1516835011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2068986 + ... + 2069718.

Almost surely, 2^1516835016 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 1516835016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110022460).

1516835016 is an abundant number, since it is smaller than the sum of its proper divisors (2703209904).

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

1516835016 is a wasteful number, since it uses less digits than its factorization.

1516835016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1516835016 is about 38946.5661644258. The cubic root of 1516835016 is about 1148.9808275995.

The spelling of 1516835016 in words is "one billion, five hundred sixteen million, eight hundred thirty-five thousand, sixteen".