1010505610005 has 64 divisors (see below), whose sum is σ = 1659328478208. Its totient is φ = 524917785600.

The previous prime is 1010505609989. The next prime is 1010505610043. The reversal of 1010505610005 is 5000165050101.

It is not a de Polignac number, because 1010505610005 - 2⁴ = 1010505609989 is a prime.

It is a super-2 number, since 2×1010505610005² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165626455 + ... + 165632555.

It is an arithmetic number, because the mean of its divisors is an integer number (25927007472).

Almost surely, 2^{1010505610005} is an apocalyptic number.

1010505610005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1010505610005 is a deficient number, since it is larger than the sum of its proper divisors (648822868203).

1010505610005 is a wasteful number, since it uses less digits than its factorization.

1010505610005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7646.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 1010505610005 in words is "one trillion, ten billion, five hundred five million, six hundred ten thousand, five".