1005050105061 has 32 divisors (see below), whose sum is σ = 1422893703168. Its totient is φ = 629912013120.

The previous prime is 1005050105057. The next prime is 1005050105063. The reversal of 1005050105061 is 1605010505001.

It is not a de Polignac number, because 1005050105061 - 2² = 1005050105057 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005050105063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1985440 + ... + 2439686.

It is an arithmetic number, because the mean of its divisors is an integer number (44465428224).

Almost surely, 2^{1005050105061} is an apocalyptic number.

It is an amenable number.

1005050105061 is a deficient number, since it is larger than the sum of its proper divisors (417843598107).

1005050105061 is a wasteful number, since it uses less digits than its factorization.

1005050105061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454961.

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

It can be divided in two parts, 1005050 and 105061, that added together give a palindrome (1110111).

The spelling of 1005050105061 in words is "one trillion, five billion, fifty million, one hundred five thousand, sixty-one".