5164441461 has 24 divisors (see below), whose sum is σ = 7541825304. Its totient is φ = 3405265920.

The previous prime is 5164441421. The next prime is 5164441487. The reversal of 5164441461 is 1641444615.

5164441461 is a `hidden beast` number, since 5 + 1 + 644 + 4 + 1 + 4 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54908100 + 5109533361 = 7410^2 + 71481^2 .

It is not a de Polignac number, because 5164441461 - 2⁶ = 5164441397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5164441421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333981 + ... + 349101.

It is an arithmetic number, because the mean of its divisors is an integer number (314242721).

Almost surely, 2^5164441461 is an apocalyptic number.

It is an amenable number.

5164441461 is a deficient number, since it is larger than the sum of its proper divisors (2377383843).

5164441461 is a wasteful number, since it uses less digits than its factorization.

5164441461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15541 (or 15538 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 5164441461 is about 71864.0484595740. The cubic root of 5164441461 is about 1728.5201753883.

The spelling of 5164441461 in words is "five billion, one hundred sixty-four million, four hundred forty-one thousand, four hundred sixty-one".