5306577144 has 128 divisors (see below), whose sum is σ = 14691041280. Its totient is φ = 1583971200.

The previous prime is 5306577119. The next prime is 5306577161. The reversal of 5306577144 is 4417756035.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5306577096 and 5306577105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5464579 + ... + 5465549.

It is an arithmetic number, because the mean of its divisors is an integer number (114773760).

Almost surely, 2^5306577144 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 5306577144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7345520640).

5306577144 is an abundant number, since it is smaller than the sum of its proper divisors (9384464136).

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

5306577144 is a wasteful number, since it uses less digits than its factorization.

5306577144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 5306577144 is about 72846.2568976608. The cubic root of 5306577144 is about 1744.2343194054.

The spelling of 5306577144 in words is "five billion, three hundred six million, five hundred seventy-seven thousand, one hundred forty-four".