258914672641 has 2 divisors, whose sum is σ = 258914672642. Its totient is φ = 258914672640.

The previous prime is 258914672629. The next prime is 258914672689. The reversal of 258914672641 is 146276419852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 249545207025 + 9369465616 = 499545^2 + 96796^2 .

It is a cyclic number.

It is not a de Polignac number, because 258914672641 - 2⁵ = 258914672609 is a prime.

It is not a weakly prime, because it can be changed into another prime (258914672141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129457336320 + 129457336321.

It is an arithmetic number, because the mean of its divisors is an integer number (129457336321).

Almost surely, 2^258914672641 is an apocalyptic number.

It is an amenable number.

258914672641 is a deficient number, since it is larger than the sum of its proper divisors (1).

258914672641 is an equidigital number, since it uses as much as digits as its factorization.

258914672641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5806080, while the sum is 55.

The spelling of 258914672641 in words is "two hundred fifty-eight billion, nine hundred fourteen million, six hundred seventy-two thousand, six hundred forty-one".