258216422500 has 45 divisors (see below), whose sum is σ = 564723239311. Its totient is φ = 103276406000.

The previous prime is 258216422467. The next prime is 258216422507. The reversal of 258216422500 is 5224612852.

The square root of 258216422500 is 508150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 20244167524 + 237972254976 = 142282^2 + 487824^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 258216422500.

It is not an unprimeable number, because it can be changed into a prime (258216422507) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 25402419 + ... + 25412581.

Almost surely, 2^258216422500 is an apocalyptic number.

258216422500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

258216422500 is the 508150-th square number.

It is an amenable number.

258216422500 is an abundant number, since it is smaller than the sum of its proper divisors (306506816811).

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

258216422500 is an frugal number, since it uses more digits than its factorization.

258216422500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20350 (or 10170 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 258216422500 in words is "two hundred fifty-eight billion, two hundred sixteen million, four hundred twenty-two thousand, five hundred".