5285144601 has 27 divisors (see below), whose sum is σ = 8395009077. Its totient is φ = 3201663960.

The previous prime is 5285144591. The next prime is 5285144609. The reversal of 5285144601 is 1064415825.

It is a happy number.

The square root of 5285144601 is 72699.

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

5285144601 is a `hidden beast` number, since 5 + 2 + 8 + 5 + 1 + 44 + 601 = 666.

It is not a de Polignac number, because 5285144601 - 2¹¹ = 5285142553 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5285144609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2397966 + ... + 2400168.

Almost surely, 2^5285144601 is an apocalyptic number.

5285144601 is the 72699-th square number.

5285144601 is the 36350-th centered octagonal number.

It is an amenable number.

5285144601 is a deficient number, since it is larger than the sum of its proper divisors (3109864476).

5285144601 is an equidigital number, since it uses as much as digits as its factorization.

5285144601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The cubic root of 5285144601 is about 1741.8829091924.

Multiplying 5285144601 by its sum of digits (36), we get a square (190265205636 = 436194²).

The spelling of 5285144601 in words is "five billion, two hundred eighty-five million, one hundred forty-four thousand, six hundred one".