1011617161601 has 16 divisors (see below), whose sum is σ = 1043188519248. Its totient is φ = 980668800000.

The previous prime is 1011617161589. The next prime is 1011617161649. The reversal of 1011617161601 is 1061617161101.

It can be written as a sum of positive squares in 8 ways, for example, as 26856654400 + 984760507201 = 163880^2 + 992351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011617161601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011617161691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509351 + ... + 1510851.

It is an arithmetic number, because the mean of its divisors is an integer number (65199282453).

Almost surely, 2^{1011617161601} is an apocalyptic number.

It is an amenable number.

1011617161601 is a deficient number, since it is larger than the sum of its proper divisors (31571357647).

1011617161601 is a wasteful number, since it uses less digits than its factorization.

1011617161601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001812.

The product of its (nonzero) digits is 1512, while the sum is 32.

The spelling of 1011617161601 in words is "one trillion, eleven billion, six hundred seventeen million, one hundred sixty-one thousand, six hundred one".