5258292000 has 384 divisors, whose sum is σ = 19073553408. Its totient is φ = 1257984000.

The previous prime is 5258291953. The next prime is 5258292001. The reversal of 5258292000 is 2928525.

It is not an unprimeable number, because it can be changed into a prime (5258292001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5771545 + ... + 5772455.

It is an arithmetic number, because the mean of its divisors is an integer number (49670712).

Almost surely, 2^5258292000 is an apocalyptic number.

5258292000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5258292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9536776704).

5258292000 is an abundant number, since it is smaller than the sum of its proper divisors (13815261408).

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

5258292000 is a wasteful number, since it uses less digits than its factorization.

5258292000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 5258292000 is about 72514.0813911340. The cubic root of 5258292000 is about 1738.9278637609.

The spelling of 5258292000 in words is "five billion, two hundred fifty-eight million, two hundred ninety-two thousand".