5181584761 has 8 divisors (see below), whose sum is σ = 5217605064. Its totient is φ = 5145634560.

The previous prime is 5181584743. The next prime is 5181584767. The reversal of 5181584761 is 1674851815.

It can be written as a sum of positive squares in 4 ways, for example, as 1242139536 + 3939445225 = 35244^2 + 62765^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5181584761 - 2⁵ = 5181584729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5181584767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135415 + ... + 169411.

It is an arithmetic number, because the mean of its divisors is an integer number (652200633).

Almost surely, 2^5181584761 is an apocalyptic number.

It is an amenable number.

5181584761 is a deficient number, since it is larger than the sum of its proper divisors (36020303).

5181584761 is a wasteful number, since it uses less digits than its factorization.

5181584761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35051.

The product of its digits is 268800, while the sum is 46.

The square root of 5181584761 is about 71983.2255529023. The cubic root of 5181584761 is about 1730.4306634953.

The spelling of 5181584761 in words is "five billion, one hundred eighty-one million, five hundred eighty-four thousand, seven hundred sixty-one".