258672301 has 2 divisors, whose sum is σ = 258672302. Its totient is φ = 258672300.

The previous prime is 258672233. The next prime is 258672311. The reversal of 258672301 is 103276852.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177582276 + 81090025 = 13326^2 + 9005^2 .

It is a cyclic number.

It is not a de Polignac number, because 258672301 - 2²⁵ = 225117869 is a prime.

It is a super-2 number, since 2×258672301² = 133822718609269202, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258672311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129336150 + 129336151.

It is an arithmetic number, because the mean of its divisors is an integer number (129336151).

Almost surely, 2^258672301 is an apocalyptic number.

It is an amenable number.

258672301 is a deficient number, since it is larger than the sum of its proper divisors (1).

258672301 is an equidigital number, since it uses as much as digits as its factorization.

258672301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 258672301 is about 16083.2926044389. The cubic root of 258672301 is about 637.1621593770.

The spelling of 258672301 in words is "two hundred fifty-eight million, six hundred seventy-two thousand, three hundred one".