87213017341681 has 27 divisors (see below), whose sum is σ = 111514139974713. Its totient is φ = 67957635003720.

The previous prime is 87213017341673. The next prime is 87213017341699. The reversal of 87213017341681 is 18614371031278.

The square root of 87213017341681 is 9338791.

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

It is not a de Polignac number, because 87213017341681 - 2³ = 87213017341673 is a prime.

It is a super-2 number, since 2×87213017341681² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (87213017341631) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 719026266 + ... + 719147548.

Almost surely, 2^{87213017341681} is an apocalyptic number.

87213017341681 is the 9338791-st square number.

87213017341681 is the 4669396-th centered octagonal number.

It is an amenable number.

87213017341681 is a deficient number, since it is larger than the sum of its proper divisors (24301122633032).

87213017341681 is an frugal number, since it uses more digits than its factorization.

87213017341681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242602 (or 121301 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 87213017341681 in words is "eighty-seven trillion, two hundred thirteen billion, seventeen million, three hundred forty-one thousand, six hundred eighty-one".