8121008564 has 6 divisors (see below), whose sum is σ = 14211764994. Its totient is φ = 4060504280.

The previous prime is 8121008551. The next prime is 8121008569. The reversal of 8121008564 is 4658001218.

It can be written as a sum of positive squares in only one way, i.e., 7903210000 + 217798564 = 88900^2 + 14758^2 .

It is a super-2 number, since 2×8121008564² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8121008569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1015126067 + ... + 1015126074.

It is an arithmetic number, because the mean of its divisors is an integer number (2368627499).

Almost surely, 2^8121008564 is an apocalyptic number.

It is an amenable number.

8121008564 is a deficient number, since it is larger than the sum of its proper divisors (6090756430).

8121008564 is a wasteful number, since it uses less digits than its factorization.

8121008564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030252145 (or 2030252143 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 8121008564 is about 90116.6386634566. The cubic root of 8121008564 is about 2010.0336259979.

The spelling of 8121008564 in words is "eight billion, one hundred twenty-one million, eight thousand, five hundred sixty-four".