258211585112852 has 48 divisors (see below), whose sum is σ = 522053161002240. Its totient is φ = 109457853120000.

The previous prime is 258211585112827. The next prime is 258211585112911.

258211585112852 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×258211585112852² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42392024 + ... + 48098927.

It is an arithmetic number, because the mean of its divisors is an integer number (10876107520880).

Almost surely, 2^{258211585112852} is an apocalyptic number.

It is an amenable number.

258211585112852 is an abundant number, since it is smaller than the sum of its proper divisors (263841575889388).

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

258211585112852 is a wasteful number, since it uses less digits than its factorization.

258211585112852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90492072 (or 90492070 counting only the distinct ones).

The product of its digits is 5120000, while the sum is 56.

The spelling of 258211585112852 in words is "two hundred fifty-eight trillion, two hundred eleven billion, five hundred eighty-five million, one hundred twelve thousand, eight hundred fifty-two".