258292089 has 24 divisors (see below), whose sum is σ = 408064800. Its totient is φ = 156133440.

The previous prime is 258292081. The next prime is 258292091. The reversal of 258292089 is 980292852.

It is not a de Polignac number, because 258292089 - 2³ = 258292081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (258292081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37302 + ... + 43680.

It is an arithmetic number, because the mean of its divisors is an integer number (17002700).

Almost surely, 2^258292089 is an apocalyptic number.

It is an amenable number.

258292089 is a deficient number, since it is larger than the sum of its proper divisors (149772711).

258292089 is a wasteful number, since it uses less digits than its factorization.

258292089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6805 (or 6802 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 258292089 is about 16071.4681656655. The cubic root of 258292089 is about 636.8498266308.

The spelling of 258292089 in words is "two hundred fifty-eight million, two hundred ninety-two thousand, eighty-nine".