1516516020 has 120 divisors (see below), whose sum is σ = 4792793544. Its totient is φ = 401393664.

The previous prime is 1516516013. The next prime is 1516516033. The reversal of 1516516020 is 206156151.

It is a happy number.

1516516020 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 51 + 602 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35497764 + 1481018256 = 5958^2 + 38484^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 218524 + ... + 225356.

Almost surely, 2^1516516020 is an apocalyptic number.

1516516020 is a gapful number since it is divisible by the number (10) 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 1516516020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396396772).

1516516020 is an abundant number, since it is smaller than the sum of its proper divisors (3276277524).

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

1516516020 is a wasteful number, since it uses less digits than its factorization.

1516516020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6991 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1516516020 is about 38942.4706458129. The cubic root of 1516516020 is about 1148.9002769835.

The spelling of 1516516020 in words is "one billion, five hundred sixteen million, five hundred sixteen thousand, twenty".