258001016 has 64 divisors (see below), whose sum is σ = 599585280. Its totient is φ = 101347200.

The previous prime is 258001013. The next prime is 258001021. The reversal of 258001016 is 610100852.

It is a junction number, because it is equal to n+sod(n) for n = 258000982 and 258001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258001013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108755 + ... + 111101.

It is an arithmetic number, because the mean of its divisors is an integer number (9368520).

Almost surely, 2^258001016 is an apocalyptic number.

258001016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258001016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299792640).

258001016 is an abundant number, since it is smaller than the sum of its proper divisors (341584264).

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

258001016 is a wasteful number, since it uses less digits than its factorization.

258001016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 258001016 is about 16062.4100308764. The cubic root of 258001016 is about 636.6105116936.

Adding to 258001016 its reverse (610100852), we get a palindrome (868101868).

The spelling of 258001016 in words is "two hundred fifty-eight million, one thousand, sixteen".