1005501110061 has 16 divisors (see below), whose sum is σ = 1532541247488. Its totient is φ = 574441158000.

The previous prime is 1005501110051. The next prime is 1005501110093. The reversal of 1005501110061 is 1600111055001.

It is a happy number.

1005501110061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1005501110061 - 2³⁹ = 455745296173 is a prime.

It is a super-2 number, since 2×1005501110061² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005501110051) 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, 5359965 + ... + 5544386.

It is an arithmetic number, because the mean of its divisors is an integer number (95783827968).

Almost surely, 2^{1005501110061} is an apocalyptic number.

It is an amenable number.

1005501110061 is a deficient number, since it is larger than the sum of its proper divisors (527040137427).

1005501110061 is a wasteful number, since it uses less digits than its factorization.

1005501110061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10908752.

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 1005501110061 its reverse (1600111055001), we get a palindrome (2605612165062).

The spelling of 1005501110061 in words is "one trillion, five billion, five hundred one million, one hundred ten thousand, sixty-one".