258516303615852 has 96 divisors (see below), whose sum is σ = 604475016187392. Its totient is φ = 85990893520896.

The previous prime is 258516303615847. The next prime is 258516303615923.

258516303615852 is nontrivially palindromic in base 10.

258516303615852 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71472573148 + ... + 71472576764.

It is an arithmetic number, because the mean of its divisors is an integer number (6296614751952).

Almost surely, 2^{258516303615852} is an apocalyptic number.

It is an amenable number.

258516303615852 is an abundant number, since it is smaller than the sum of its proper divisors (345958712571540).

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

258516303615852 is a wasteful number, since it uses less digits than its factorization.

258516303615852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9767 (or 9765 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 60.

The spelling of 258516303615852 in words is "two hundred fifty-eight trillion, five hundred sixteen billion, three hundred three million, six hundred fifteen thousand, eight hundred fifty-two".