1516541364 has 72 divisors (see below), whose sum is σ = 4206325032. Its totient is φ = 457816320.

The previous prime is 1516541357. The next prime is 1516541381. The reversal of 1516541364 is 4631456151.

1516541364 is a `hidden beast` number, since 1 + 51 + 6 + 541 + 3 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 488056464 + 1028484900 = 22092^2 + 32070^2 .

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

It is a congruent number.

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, 5767 + ... + 55374.

It is an arithmetic number, because the mean of its divisors is an integer number (58421181).

Almost surely, 2^1516541364 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 1516541364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103162516).

1516541364 is an abundant number, since it is smaller than the sum of its proper divisors (2689783668).

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

1516541364 is a wasteful number, since it uses less digits than its factorization.

1516541364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61217 (or 61212 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 1516541364 is about 38942.7960475362. The cubic root of 1516541364 is about 1148.9066770844.

The spelling of 1516541364 in words is "one billion, five hundred sixteen million, five hundred forty-one thousand, three hundred sixty-four".