8061295134564 has 81 divisors (see below), whose sum is σ = 23704397059161. Its totient is φ = 2303193110400.

The previous prime is 8061295134559. The next prime is 8061295134569. The reversal of 8061295134564 is 4654315921608.

The square root of 8061295134564 is 2839242.

It is a perfect power (a square), and thus also a powerful number.

8061295134564 is a `hidden beast` number, since 8 + 0 + 6 + 1 + 29 + 51 + 3 + 4 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (8061295134559) and next prime (8061295134569).

It can be written as a sum of positive squares in only one way, i.e., 8060818148964 + 476985600 = 2839158^2 + 21840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8061295134564.

It is not an unprimeable number, because it can be changed into a prime (8061295134569) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 119214364 + ... + 119281964.

Almost surely, 2^{8061295134564} is an apocalyptic number.

8061295134564 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

8061295134564 is the 2839242-nd square number.

It is an amenable number.

8061295134564 is an abundant number, since it is smaller than the sum of its proper divisors (15643101924597).

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

8061295134564 is an frugal number, since it uses more digits than its factorization.

8061295134564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135226 (or 67613 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 8061295134564 in words is "eight trillion, sixty-one billion, two hundred ninety-five million, one hundred thirty-four thousand, five hundred sixty-four".