258073201014 has 32 divisors (see below), whose sum is σ = 521161676640. Its totient is φ = 85189370112.

The previous prime is 258073200991. The next prime is 258073201019. The reversal of 258073201014 is 410102370852.

258073201014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×258073201014² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258073201019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1122442 + ... + 1332674.

It is an arithmetic number, because the mean of its divisors is an integer number (16286302395).

Almost surely, 2^258073201014 is an apocalyptic number.

258073201014 is an abundant number, since it is smaller than the sum of its proper divisors (263088475626).

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

258073201014 is a wasteful number, since it uses less digits than its factorization.

258073201014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212224.

The product of its (nonzero) digits is 13440, while the sum is 33.

Adding to 258073201014 its reverse (410102370852), we get a palindrome (668175571866).

The spelling of 258073201014 in words is "two hundred fifty-eight billion, seventy-three million, two hundred one thousand, fourteen".