4513161564 has 180 divisors, whose sum is σ = 12654051256. Its totient is φ = 1402292736.

The previous prime is 4513161529. The next prime is 4513161571. The reversal of 4513161564 is 4651613154.

4513161564 is a `hidden beast` number, since 4 + 5 + 1 + 31 + 61 + 564 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14700699 + ... + 14701005.

Almost surely, 2^4513161564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4513161564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327025628).

4513161564 is an abundant number, since it is smaller than the sum of its proper divisors (8140889692).

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

4513161564 is a wasteful number, since it uses less digits than its factorization.

4513161564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 486 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 4513161564 is about 67180.0682047882. The cubic root of 4513161564 is about 1652.5716328351.

The spelling of 4513161564 in words is "four billion, five hundred thirteen million, one hundred sixty-one thousand, five hundred sixty-four".