258000438211 has 32 divisors (see below), whose sum is σ = 279264153600. Its totient is φ = 237655165440.

The previous prime is 258000438193. The next prime is 258000438217. The reversal of 258000438211 is 112834000852.

It is a happy number.

It is not a de Polignac number, because 258000438211 - 2⁹ = 258000437699 is a prime.

It is a super-2 number, since 2×258000438211² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258000438217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200154855 + ... + 200156143.

It is an arithmetic number, because the mean of its divisors is an integer number (8727004800).

Almost surely, 2^258000438211 is an apocalyptic number.

258000438211 is a deficient number, since it is larger than the sum of its proper divisors (21263715389).

258000438211 is a wasteful number, since it uses less digits than its factorization.

258000438211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499.

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 258000438211 in words is "two hundred fifty-eight billion, four hundred thirty-eight thousand, two hundred eleven".