87948564526131 has 8 divisors (see below), whose sum is σ = 117264814593744. Its totient is φ = 58632345404640.

The previous prime is 87948564526129. The next prime is 87948564526181. The reversal of 87948564526131 is 13162546584978.

87948564526131 is a nontrivial binomial coefficient, being equal to C(13262622, 2).

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

It is not a de Polignac number, because 87948564526131 - 2¹ = 87948564526129 is a prime.

It is a super-2 number, since 2×87948564526131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87948564526181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 13262621.

It is an arithmetic number, because the mean of its divisors is an integer number (14658101824218).

Almost surely, 2^{87948564526131} is an apocalyptic number.

87948564526131 is the 13262621-st triangular number and also the 6631311-st hexagonal number.

87948564526131 is a deficient number, since it is larger than the sum of its proper divisors (29316250067613).

87948564526131 is a wasteful number, since it uses less digits than its factorization.

87948564526131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15473061.

The product of its digits is 348364800, while the sum is 69.

The spelling of 87948564526131 in words is "eighty-seven trillion, nine hundred forty-eight billion, five hundred sixty-four million, five hundred twenty-six thousand, one hundred thirty-one".