6871523006881 has 15 divisors (see below), whose sum is σ = 7444609831653. Its totient is φ = 6342535382040.

The previous prime is 6871523006869. The next prime is 6871523006939. The reversal of 6871523006881 is 1886003251786.

The square root of 6871523006881 is 2621359.

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

It can be written as a sum of positive squares in 2 ways, for example, as 3407010864481 + 3464512142400 = 1845809^2 + 1861320^2 .

It is not a de Polignac number, because 6871523006881 - 2⁷ = 6871523006753 is a prime.

It is a super-2 number, since 2×6871523006881² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6871523006081) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 443001916 + ... + 443017426.

Almost surely, 2^{6871523006881} is an apocalyptic number.

6871523006881 is the 2621359-th square number.

6871523006881 is the 1310680-th centered octagonal number.

It is an amenable number.

6871523006881 is a deficient number, since it is larger than the sum of its proper divisors (573086824772).

6871523006881 is an frugal number, since it uses more digits than its factorization.

6871523006881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31074 (or 15524 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 6871523006881 in words is "six trillion, eight hundred seventy-one billion, five hundred twenty-three million, six thousand, eight hundred eighty-one".