5258129240 has 384 divisors, whose sum is σ = 16030224000. Its totient is φ = 1532805120.

The previous prime is 5258129231. The next prime is 5258129243. The reversal of 5258129240 is 429218525.

It is a junction number, because it is equal to n+sod(n) for n = 5258129194 and 5258129203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258129243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26422661 + ... + 26422859.

It is an arithmetic number, because the mean of its divisors is an integer number (41745375).

Almost surely, 2^5258129240 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 5258129240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015112000).

5258129240 is an abundant number, since it is smaller than the sum of its proper divisors (10772094760).

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

5258129240 is a wasteful number, since it uses less digits than its factorization.

5258129240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 5258129240 is about 72512.9591176639. The cubic root of 5258129240 is about 1738.9099218880.

The spelling of 5258129240 in words is "five billion, two hundred fifty-eight million, one hundred twenty-nine thousand, two hundred forty".