1005515584516 has 27 divisors (see below), whose sum is σ = 1839569656071. Its totient is φ = 480876697224.

The previous prime is 1005515584483. The next prime is 1005515584517. The reversal of 1005515584516 is 6154855155001.

The square root of 1005515584516 is 1002754.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1005515584516² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005515584517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46115785 + ... + 46137583.

Almost surely, 2^{1005515584516} is an apocalyptic number.

1005515584516 is the 1002754-th square number.

It is an amenable number.

1005515584516 is a deficient number, since it is larger than the sum of its proper divisors (834054071555).

1005515584516 is an frugal number, since it uses more digits than its factorization.

1005515584516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43648 (or 21824 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 46.

The spelling of 1005515584516 in words is "one trillion, five billion, five hundred fifteen million, five hundred eighty-four thousand, five hundred sixteen".