1010516562005 has 16 divisors (see below), whose sum is σ = 1217248372080. Its totient is φ = 805328182272.

The previous prime is 1010516561993. The next prime is 1010516562007. The reversal of 1010516562005 is 5002656150101.

It can be written as a sum of positive squares in 8 ways, for example, as 744246113809 + 266270448196 = 862697^2 + 516014^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010516562005 - 2¹² = 1010516557909 is a prime.

It is a super-2 number, since 2×1010516562005² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010516562007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16158557 + ... + 16220973.

It is an arithmetic number, because the mean of its divisors is an integer number (76078023255).

Almost surely, 2^{1010516562005} is an apocalyptic number.

It is an amenable number.

1010516562005 is a deficient number, since it is larger than the sum of its proper divisors (206731810075).

1010516562005 is a wasteful number, since it uses less digits than its factorization.

1010516562005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74728.

The product of its (nonzero) digits is 9000, while the sum is 32.

The spelling of 1010516562005 in words is "one trillion, ten billion, five hundred sixteen million, five hundred sixty-two thousand, five".