971655506181 has 12 divisors (see below), whose sum is σ = 1403719038540. Its totient is φ = 647670349440.

The previous prime is 971655506161. The next prime is 971655506201. The reversal of 971655506181 is 181605556179.

971655506181 is a `hidden beast` number, since 9 + 7 + 1 + 6 + 5 + 550 + 6 + 1 + 81 = 666.

It is an interprime number because it is at equal distance from previous prime (971655506161) and next prime (971655506201).

It can be written as a sum of positive squares in 2 ways, for example, as 467507225025 + 504148281156 = 683745^2 + 710034^2 .

It is not a de Polignac number, because 971655506181 - 2⁷ = 971655506053 is a prime.

It is a super-2 number, since 2×971655506181² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971655506161) 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 11 ways as a sum of consecutive naturals, for example, 8270766 + ... + 8387423.

It is an arithmetic number, because the mean of its divisors is an integer number (116976586545).

Almost surely, 2^971655506181 is an apocalyptic number.

It is an amenable number.

971655506181 is a deficient number, since it is larger than the sum of its proper divisors (432063532359).

971655506181 is a wasteful number, since it uses less digits than its factorization.

971655506181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16664676 (or 16664673 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 54.

The spelling of 971655506181 in words is "nine hundred seventy-one billion, six hundred fifty-five million, five hundred six thousand, one hundred eighty-one".