4258424324025 has 27 divisors (see below), whose sum is σ = 7627366564909. Its totient is φ = 2271143130720.

The previous prime is 4258424323987. The next prime is 4258424324039. The reversal of 4258424324025 is 5204234248524.

It is a happy number.

The square root of 4258424324025 is 2063595.

It is a perfect power (a square), and thus also a powerful number.

4258424324025 is a `hidden beast` number, since 4 + 2 + 584 + 2 + 4 + 3 + 2 + 40 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55399507641 + 4203024816384 = 235371^2 + 2050128^2 .

It is not a de Polignac number, because 4258424324025 - 2¹⁵ = 4258424291257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30885139 + ... + 31022711.

Almost surely, 2^{4258424324025} is an apocalyptic number.

4258424324025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4258424324025 is the 2063595-th square number.

4258424324025 is the 1031798-th centered octagonal number.

It is an amenable number.

4258424324025 is a deficient number, since it is larger than the sum of its proper divisors (3368942240884).

4258424324025 is an frugal number, since it uses more digits than its factorization.

4258424324025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275162 (or 137581 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 45.

The spelling of 4258424324025 in words is "four trillion, two hundred fifty-eight billion, four hundred twenty-four million, three hundred twenty-four thousand, twenty-five".