258312201 has 16 divisors (see below), whose sum is σ = 414336000. Its totient is φ = 139837968.

The previous prime is 258312199. The next prime is 258312203. The reversal of 258312201 is 102213852.

It is an interprime number because it is at equal distance from previous prime (258312199) and next prime (258312203).

It is not a de Polignac number, because 258312201 - 2¹ = 258312199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (258312203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323301 + ... + 324098.

It is an arithmetic number, because the mean of its divisors is an integer number (25896000).

Almost surely, 2^258312201 is an apocalyptic number.

258312201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

258312201 is a deficient number, since it is larger than the sum of its proper divisors (156023799).

258312201 is a wasteful number, since it uses less digits than its factorization.

258312201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647428.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 258312201 is about 16072.0938586110. The cubic root of 258312201 is about 636.8663557101.

The spelling of 258312201 in words is "two hundred fifty-eight million, three hundred twelve thousand, two hundred one".