5831506638 has 72 divisors (see below), whose sum is σ = 13379519088. Its totient is φ = 1835374464.

The previous prime is 5831506633. The next prime is 5831506661. The reversal of 5831506638 is 8366051385.

5831506638 is a `hidden beast` number, since 5 + 8 + 3 + 1 + 5 + 0 + 6 + 638 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5831506593 and 5831506602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5831506633) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2188495 + ... + 2191157.

It is an arithmetic number, because the mean of its divisors is an integer number (185826654).

Almost surely, 2^5831506638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5831506638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6689759544).

5831506638 is an abundant number, since it is smaller than the sum of its proper divisors (7548012450).

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

5831506638 is a wasteful number, since it uses less digits than its factorization.

5831506638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5831506638 is about 76364.3021182018. The cubic root of 5831506638 is about 1799.9492411612.

The spelling of 5831506638 in words is "five billion, eight hundred thirty-one million, five hundred six thousand, six hundred thirty-eight".