258951 has 32 divisors (see below), whose sum is σ = 460800. Its totient is φ = 125280.

The previous prime is 258949. The next prime is 258959. The reversal of 258951 is 159852.

It is not a de Polignac number, because 258951 - 2¹ = 258949 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258951.

It is not an unprimeable number, because it can be changed into a prime (258959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4360 + ... + 4418.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

2²⁵⁸⁹⁵¹ is an apocalyptic number.

258951 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

258951 is a deficient number, since it is larger than the sum of its proper divisors (201849).

258951 is a wasteful number, since it uses less digits than its factorization.

258951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99.

The product of its digits is 3600, while the sum is 30.

The square root of 258951 is about 508.8722826014. The cubic root of 258951 is about 63.7390907899.

Subtracting from 258951 its reverse (159852), we obtain a palindrome (99099).

The spelling of 258951 in words is "two hundred fifty-eight thousand, nine hundred fifty-one".