1031161506661 has 16 divisors (see below), whose sum is σ = 1211561668800. Its totient is φ = 865219518720.

The previous prime is 1031161506637. The next prime is 1031161506667. The reversal of 1031161506661 is 1666051611301.

It is a cyclic number.

It is not a de Polignac number, because 1031161506661 - 2⁵ = 1031161506629 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1031161506661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031161506667) 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 15 ways as a sum of consecutive naturals, for example, 1006146 + ... + 1753468.

It is an arithmetic number, because the mean of its divisors is an integer number (75722604300).

Almost surely, 2^{1031161506661} is an apocalyptic number.

1031161506661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1031161506661 is a deficient number, since it is larger than the sum of its proper divisors (180400162139).

1031161506661 is a wasteful number, since it uses less digits than its factorization.

1031161506661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756996.

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 1031161506661 in words is "one trillion, thirty-one billion, one hundred sixty-one million, five hundred six thousand, six hundred sixty-one".