8252616162528 has 96 divisors (see below), whose sum is σ = 24082945286400. Its totient is φ = 2749407504768.

The previous prime is 8252616162493. The next prime is 8252616162647.

8252616162528 is a `hidden beast` number, since 8 + 2 + 5 + 2 + 6 + 1 + 6 + 1 + 625 + 2 + 8 = 666.

8252616162528 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8252616162528² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 918226 + ... + 4165137.

It is an arithmetic number, because the mean of its divisors is an integer number (250864013400).

Almost surely, 2^{8252616162528} is an apocalyptic number.

It is an amenable number.

8252616162528 is an abundant number, since it is smaller than the sum of its proper divisors (15830329123872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8252616162528 is a wasteful number, since it uses less digits than its factorization.

8252616162528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085261 (or 5085247 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 8252616162528 in words is "eight trillion, two hundred fifty-two billion, six hundred sixteen million, one hundred sixty-two thousand, five hundred twenty-eight".