5185584121 has 9 divisors (see below), whose sum is σ = 5242289871. Its totient is φ = 5129487552.

The previous prime is 5185584113. The next prime is 5185584143. The reversal of 5185584121 is 1214855815.

It is a happy number.

The square root of 5185584121 is 72011.

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

It can be written as a sum of positive squares in only one way, i.e., 1697028025 + 3488556096 = 41195^2 + 59064^2 .

It is not a de Polignac number, because 5185584121 - 2³ = 5185584113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5185584181) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7704841 + ... + 7705513.

Almost surely, 2^5185584121 is an apocalyptic number.

5185584121 is the 72011-st square number.

5185584121 is the 36006-th centered octagonal number.

It is an amenable number.

5185584121 is a deficient number, since it is larger than the sum of its proper divisors (56705750).

5185584121 is an frugal number, since it uses more digits than its factorization.

5185584121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 780 counting only the distinct ones).

The product of its digits is 64000, while the sum is 40.

The cubic root of 5185584121 is about 1730.8757548282.

The spelling of 5185584121 in words is "five billion, one hundred eighty-five million, five hundred eighty-four thousand, one hundred twenty-one".