258033006 has 64 divisors (see below), whose sum is σ = 714908160. Its totient is φ = 67020480.

The previous prime is 258033001. The next prime is 258033023. The reversal of 258033006 is 600330852.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258033001) 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, 26871 + ... + 35186.

It is an arithmetic number, because the mean of its divisors is an integer number (11170440).

Almost surely, 2^258033006 is an apocalyptic number.

258033006 is an abundant number, since it is smaller than the sum of its proper divisors (456875154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258033006 is a wasteful number, since it uses less digits than its factorization.

258033006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62086 (or 62080 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 258033006 is about 16063.4058032536. The cubic root of 258033006 is about 636.6368220921.

Adding to 258033006 its reverse (600330852), we get a palindrome (858363858).

The spelling of 258033006 in words is "two hundred fifty-eight million, thirty-three thousand, six".