258122007 has 48 divisors (see below), whose sum is σ = 441657216. Its totient is φ = 143208000.

The previous prime is 258122003. The next prime is 258122041. The reversal of 258122007 is 700221852.

258122007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 258122007 - 2² = 258122003 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258122003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167832 + ... + 169362.

It is an arithmetic number, because the mean of its divisors is an integer number (9201192).

Almost surely, 2^258122007 is an apocalyptic number.

258122007 is a deficient number, since it is larger than the sum of its proper divisors (183535209).

258122007 is a wasteful number, since it uses less digits than its factorization.

258122007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 258122007 is about 16066.1758673307. The cubic root of 258122007 is about 636.7100101458.

Adding to 258122007 its reverse (700221852), we get a palindrome (958343859).

It can be divided in two parts, 258 and 122007, that added together give a triangular number (122265 = T₄₉₄).

The spelling of 258122007 in words is "two hundred fifty-eight million, one hundred twenty-two thousand, seven".