1010505605006 has 16 divisors (see below), whose sum is σ = 1516676086800. Its totient is φ = 504946975680.

The previous prime is 1010505604973. The next prime is 1010505605033. The reversal of 1010505605006 is 6005065050101.

It is a super-2 number, since 2×1010505605006² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1010505605006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63637940 + ... + 63653816.

It is an arithmetic number, because the mean of its divisors is an integer number (94792255425).

Almost surely, 2^{1010505605006} is an apocalyptic number.

1010505605006 is a deficient number, since it is larger than the sum of its proper divisors (506170481794).

1010505605006 is a wasteful number, since it uses less digits than its factorization.

1010505605006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33139.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 1010505605006 in words is "one trillion, ten billion, five hundred five million, six hundred five thousand, six".