8153534961 has 96 divisors (see below), whose sum is σ = 14658134400. Its totient is φ = 4319153280.

The previous prime is 8153534947. The next prime is 8153534971. The reversal of 8153534961 is 1694353518.

8153534961 is a `hidden beast` number, since 8 + 1 + 53 + 534 + 9 + 61 = 666.

It is not a de Polignac number, because 8153534961 - 2⁵ = 8153534929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8153534911) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4131571 + ... + 4133543.

It is an arithmetic number, because the mean of its divisors is an integer number (152688900).

Almost surely, 2^8153534961 is an apocalyptic number.

It is an amenable number.

8153534961 is a deficient number, since it is larger than the sum of its proper divisors (6504599439).

8153534961 is a wasteful number, since it uses less digits than its factorization.

8153534961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2019 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 8153534961 is about 90296.9266420513. The cubic root of 8153534961 is about 2012.7135911363.

The spelling of 8153534961 in words is "eight billion, one hundred fifty-three million, five hundred thirty-four thousand, nine hundred sixty-one".