1010516065 has 24 divisors (see below), whose sum is σ = 1348603128. Its totient is φ = 726036480.

The previous prime is 1010516051. The next prime is 1010516071. The reversal of 1010516065 is 5606150101.

It can be written as a sum of positive squares in 12 ways, for example, as 414570321 + 595945744 = 20361^2 + 24412^2 .

It is not a de Polignac number, because 1010516065 - 2⁹ = 1010515553 is a prime.

It is a super-2 number, since 2×1010516065² = 2042285435246168450, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15105 + ... + 47425.

It is an arithmetic number, because the mean of its divisors is an integer number (56191797).

Almost surely, 2^1010516065 is an apocalyptic number.

It is an amenable number.

1010516065 is a deficient number, since it is larger than the sum of its proper divisors (338087063).

1010516065 is a wasteful number, since it uses less digits than its factorization.

1010516065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32389 (or 32376 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 1010516065 is about 31788.6153363118. The cubic root of 1010516065 is about 1003.4931387737.

Adding to 1010516065 its reverse (5606150101), we get a palindrome (6616666166).

The spelling of 1010516065 in words is "one billion, ten million, five hundred sixteen thousand, sixty-five".