10082770569 has 21 divisors (see below), whose sum is σ = 15121306333. Its totient is φ = 6720039612.

The previous prime is 10082770561. The next prime is 10082770589. The reversal of 10082770569 is 96507728001.

The square root of 10082770569 is 100413.

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

10082770569 is a `hidden beast` number, since 1 + 0 + 0 + 82 + 7 + 7 + 0 + 569 = 666.

It is not a de Polignac number, because 10082770569 - 2³ = 10082770561 is a prime.

It is a super-2 number, since 2×10082770569² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10082770561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2709292 + ... + 2713010.

Almost surely, 2^10082770569 is an apocalyptic number.

10082770569 is the 100413-rd square number.

10082770569 is the 50207-th centered octagonal number.

It is an amenable number.

10082770569 is a deficient number, since it is larger than the sum of its proper divisors (5038535764).

10082770569 is an frugal number, since it uses more digits than its factorization.

10082770569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7456 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

It can be divided in two parts, 100827 and 70569, that added together give a square (171396 = 414²).

The spelling of 10082770569 in words is "ten billion, eighty-two million, seven hundred seventy thousand, five hundred sixty-nine".