3516071264161 has 9 divisors (see below), whose sum is σ = 3542182150899. Its totient is φ = 3490151494224.

The previous prime is 3516071264119. The next prime is 3516071264171. The reversal of 3516071264161 is 1614621706153.

The square root of 3516071264161 is 1875119.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2065357008225 + 1450714255936 = 1437135^2 + 1204456^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3516071264161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3516071264171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 256884460 + ... + 256898146.

Almost surely, 2^{3516071264161} is an apocalyptic number.

3516071264161 is the 1875119-th square number.

3516071264161 is the 937560-th centered octagonal number.

It is an amenable number.

3516071264161 is a deficient number, since it is larger than the sum of its proper divisors (26110886738).

3516071264161 is an frugal number, since it uses more digits than its factorization.

3516071264161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27648 (or 13824 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 3516071264161 in words is "three trillion, five hundred sixteen billion, seventy-one million, two hundred sixty-four thousand, one hundred sixty-one".