1056516516 has 144 divisors (see below), whose sum is σ = 3035672640. Its totient is φ = 306888960.

The previous prime is 1056516511. The next prime is 1056516521. The reversal of 1056516516 is 6156156501.

It is an interprime number because it is at equal distance from previous prime (1056516511) and next prime (1056516521).

It is a super-2 number, since 2×1056516516² = 2232454297161556512, which contains 22 as substring.

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 (1056516511) 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 47 ways as a sum of consecutive naturals, for example, 2262115 + ... + 2262581.

It is an arithmetic number, because the mean of its divisors is an integer number (21081060).

Almost surely, 2^1056516516 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 1056516516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517836320).

1056516516 is an abundant number, since it is smaller than the sum of its proper divisors (1979156124).

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

1056516516 is a wasteful number, since it uses less digits than its factorization.

1056516516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 1056516516 is about 32504.0999875400. The cubic root of 1056516516 is about 1018.4946768737.

The spelling of 1056516516 in words is "one billion, fifty-six million, five hundred sixteen thousand, five hundred sixteen".