1011616161601 has 4 divisors (see below), whose sum is σ = 1011623634900. Its totient is φ = 1011608688304.

The previous prime is 1011616161599. The next prime is 1011616161607. The reversal of 1011616161601 is 1061616161101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 632782066576 + 378834095025 = 795476^2 + 615495^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011616161601 - 2¹ = 1011616161599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011616161607) 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 3 ways as a sum of consecutive naturals, for example, 3529786 + ... + 3805603.

It is an arithmetic number, because the mean of its divisors is an integer number (252905908725).

Almost surely, 2^{1011616161601} is an apocalyptic number.

It is an amenable number.

1011616161601 is a deficient number, since it is larger than the sum of its proper divisors (7473299).

1011616161601 is an equidigital number, since it uses as much as digits as its factorization.

1011616161601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7473298.

The product of its (nonzero) digits is 1296, while the sum is 31.

It can be divided in two parts, 10 and 11616161601, that added together give a palindrome (11616161611).

The spelling of 1011616161601 in words is "one trillion, eleven billion, six hundred sixteen million, one hundred sixty-one thousand, six hundred one".