258724223225 has 12 divisors (see below), whose sum is σ = 345496347756. Its totient is φ = 191057887680.

The previous prime is 258724223221. The next prime is 258724223333. The reversal of 258724223225 is 522322427852.

It can be written as a sum of positive squares in 6 ways, for example, as 56451859216 + 202272364009 = 237596^2 + 449747^2 .

It is not a de Polignac number, because 258724223225 - 2² = 258724223221 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (258724223221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398036942 + ... + 398037591.

It is an arithmetic number, because the mean of its divisors is an integer number (28791362313).

Almost surely, 2^258724223225 is an apocalyptic number.

258724223225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

258724223225 is a deficient number, since it is larger than the sum of its proper divisors (86772124531).

258724223225 is a wasteful number, since it uses less digits than its factorization.

258724223225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796074556 (or 796074551 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 44.

The spelling of 258724223225 in words is "two hundred fifty-eight billion, seven hundred twenty-four million, two hundred twenty-three thousand, two hundred twenty-five".