10009141965 has 12 divisors (see below), whose sum is σ = 17349179484. Its totient is φ = 5338209024.

The previous prime is 10009141951. The next prime is 10009141979. The reversal of 10009141965 is 56914190001.

10009141965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10009141951) and next prime (10009141979).

It can be written as a sum of positive squares in 2 ways, for example, as 1154708361 + 8854433604 = 33981^2 + 94098^2 .

It is not a de Polignac number, because 10009141965 - 2⁷ = 10009141837 is a prime.

It is a super-2 number, since 2×10009141965² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111212644 + ... + 111212733.

It is an arithmetic number, because the mean of its divisors is an integer number (1445764957).

Almost surely, 2^10009141965 is an apocalyptic number.

10009141965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10009141965 is a deficient number, since it is larger than the sum of its proper divisors (7340037519).

10009141965 is a wasteful number, since it uses less digits than its factorization.

10009141965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222425388 (or 222425385 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 10009141965 in words is "ten billion, nine million, one hundred forty-one thousand, nine hundred sixty-five".