5258202642 has 168 divisors, whose sum is σ = 15009058512. Its totient is φ = 1365562800.

The previous prime is 5258202611. The next prime is 5258202643. The reversal of 5258202642 is 2462028525.

5258202642 is a `hidden beast` number, since 5 + 2 + 5 + 8 + 2 + 0 + 2 + 642 = 666.

It is a hoax number, since the sum of its digits (36) 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 = 5258202597 and 5258202606.

It is not an unprimeable number, because it can be changed into a prime (5258202643) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 782517 + ... + 789207.

It is an arithmetic number, because the mean of its divisors is an integer number (89339634).

Almost surely, 2^5258202642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5258202642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7504529256).

5258202642 is an abundant number, since it is smaller than the sum of its proper divisors (9750855870).

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

5258202642 is a wasteful number, since it uses less digits than its factorization.

5258202642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6736 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5258202642 is about 72513.4652461183. The cubic root of 5258202642 is about 1738.9180134142.

The spelling of 5258202642 in words is "five billion, two hundred fifty-eight million, two hundred two thousand, six hundred forty-two".