87948564526133 has 24 divisors (see below), whose sum is σ = 93276910605120. Its totient is φ = 82766267591040.

The previous prime is 87948564526129. The next prime is 87948564526181. The reversal of 87948564526133 is 33162546584978.

It is not a de Polignac number, because 87948564526133 - 2² = 87948564526129 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87948564576133) 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 23 ways as a sum of consecutive naturals, for example, 37034138 + ... + 39337316.

It is an arithmetic number, because the mean of its divisors is an integer number (3886537941880).

Almost surely, 2^{87948564526133} is an apocalyptic number.

87948564526133 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

87948564526133 is a deficient number, since it is larger than the sum of its proper divisors (5328346078987).

87948564526133 is a wasteful number, since it uses less digits than its factorization.

87948564526133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303609 (or 2303526 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 71.

The spelling of 87948564526133 in words is "eighty-seven trillion, nine hundred forty-eight billion, five hundred sixty-four million, five hundred twenty-six thousand, one hundred thirty-three".