5283815040 has 576 divisors, whose sum is σ = 21554474760. Its totient is φ = 1189085184.

The previous prime is 5283815029. The next prime is 5283815063. The reversal of 5283815040 is 405183825.

It is a happy number.

5283815040 is a `hidden beast` number, since 528 + 3 + 81 + 50 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3477225024 + 1806590016 = 58968^2 + 42504^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5283814986 and 5283815004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27377184 + ... + 27377376.

Almost surely, 2^5283815040 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 5283815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10777237380).

5283815040 is an abundant number, since it is smaller than the sum of its proper divisors (16270659720).

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

5283815040 is a wasteful number, since it uses less digits than its factorization.

5283815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 307 counting only the distinct ones).

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

The square root of 5283815040 is about 72689.8551381140. The cubic root of 5283815040 is about 1741.7368309556.

Adding to 5283815040 its reverse (405183825), we get a palindrome (5688998865).

The spelling of 5283815040 in words is "five billion, two hundred eighty-three million, eight hundred fifteen thousand, forty".