1617007041101 has 8 divisors (see below), whose sum is σ = 1627894719000. Its totient is φ = 1606119833920.

The previous prime is 1617007040947. The next prime is 1617007041107. The reversal of 1617007041101 is 1011407007161.

It can be written as a sum of positive squares in 4 ways, for example, as 669207438601 + 947799602500 = 818051^2 + 973550^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1617007041101 is a prime.

It is a super-2 number, since 2×1617007041101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1617007041107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9305231 + ... + 9477411.

It is an arithmetic number, because the mean of its divisors is an integer number (203486839875).

Almost surely, 2^{1617007041101} is an apocalyptic number.

It is an amenable number.

1617007041101 is a deficient number, since it is larger than the sum of its proper divisors (10887677899).

1617007041101 is a wasteful number, since it uses less digits than its factorization.

1617007041101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235359.

The product of its (nonzero) digits is 1176, while the sum is 29.

The spelling of 1617007041101 in words is "one trillion, six hundred seventeen billion, seven million, forty-one thousand, one hundred one".