4258072566 has 24 divisors (see below), whose sum is σ = 10064535624. Its totient is φ = 1290324960.

The previous prime is 4258072561. The next prime is 4258072571. The reversal of 4258072566 is 6652708524.

4258072566 is a `hidden beast` number, since 4 + 2 + 5 + 80 + 7 + 2 + 566 = 666.

It is an interprime number because it is at equal distance from previous prime (4258072561) and next prime (4258072571).

It is a super-3 number, since 3×4258072566³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4258072561) 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, 10752511 + ... + 10752906.

It is an arithmetic number, because the mean of its divisors is an integer number (419355651).

Almost surely, 2^4258072566 is an apocalyptic number.

4258072566 is an abundant number, since it is smaller than the sum of its proper divisors (5806463058).

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

4258072566 is a wasteful number, since it uses less digits than its factorization.

4258072566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21505436 (or 21505433 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 4258072566 is about 65253.9084346677. The cubic root of 4258072566 is about 1620.8308198388.

The spelling of 4258072566 in words is "four billion, two hundred fifty-eight million, seventy-two thousand, five hundred sixty-six".