258172507321 has 8 divisors (see below), whose sum is σ = 268129361160. Its totient is φ = 248372454528.

The previous prime is 258172507303. The next prime is 258172507349. The reversal of 258172507321 is 123705271852.

It can be written as a sum of positive squares in 4 ways, for example, as 2552270400 + 255620236921 = 50520^2 + 505589^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 258172507321 - 2²⁹ = 257635636409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258172507301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39196906 + ... + 39203491.

It is an arithmetic number, because the mean of its divisors is an integer number (33516170145).

Almost surely, 2^258172507321 is an apocalyptic number.

It is an amenable number.

258172507321 is a deficient number, since it is larger than the sum of its proper divisors (9956853839).

258172507321 is an equidigital number, since it uses as much as digits as its factorization.

258172507321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78400523.

The product of its (nonzero) digits is 235200, while the sum is 43.

The spelling of 258172507321 in words is "two hundred fifty-eight billion, one hundred seventy-two million, five hundred seven thousand, three hundred twenty-one".