258005496729 has 32 divisors (see below), whose sum is σ = 361855254528. Its totient is φ = 163314576000.

The previous prime is 258005496719. The next prime is 258005496731. The reversal of 258005496729 is 927694500852.

258005496729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 258005496729 - 2⁸ = 258005496473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (258005496709) 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 31 ways as a sum of consecutive naturals, for example, 1197214 + ... + 1396184.

It is an arithmetic number, because the mean of its divisors is an integer number (11307976704).

Almost surely, 2^258005496729 is an apocalyptic number.

It is an amenable number.

258005496729 is a deficient number, since it is larger than the sum of its proper divisors (103849757799).

258005496729 is a wasteful number, since it uses less digits than its factorization.

258005496729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199269.

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 258005496729 in words is "two hundred fifty-eight billion, five million, four hundred ninety-six thousand, seven hundred twenty-nine".