8288120541 has 16 divisors (see below), whose sum is σ = 11552664960. Its totient is φ = 5275385280.

The previous prime is 8288120531. The next prime is 8288120543. The reversal of 8288120541 is 1450218828.

It is not a de Polignac number, because 8288120541 - 2¹¹ = 8288118493 is a prime.

It is a super-2 number, since 2×8288120541² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8288120541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8288120543) by changing a digit.

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, 73686 + ... + 148343.

It is an arithmetic number, because the mean of its divisors is an integer number (722041560).

Almost surely, 2^8288120541 is an apocalyptic number.

It is an amenable number.

8288120541 is a deficient number, since it is larger than the sum of its proper divisors (3264544419).

8288120541 is a wasteful number, since it uses less digits than its factorization.

8288120541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222596.

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 8288120541 is about 91039.1154449559. The cubic root of 8288120541 is about 2023.7274362724.

The spelling of 8288120541 in words is "eight billion, two hundred eighty-eight million, one hundred twenty thousand, five hundred forty-one".