10567239031441 has 9 divisors (see below), whose sum is σ = 11152746823113. Its totient is φ = 10011010042980.

The previous prime is 10567239031421. The next prime is 10567239031451. The reversal of 10567239031441 is 14413093276501.

The square root of 10567239031441 is 3250729.

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

It is not a de Polignac number, because 10567239031441 - 2¹⁹ = 10567238507153 is a prime.

It is a super-2 number, since 2×10567239031441² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10567239031391 and 10567239031400.

It is not an unprimeable number, because it can be changed into a prime (10567239031421) 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 8 ways as a sum of consecutive naturals, for example, 61678306 + ... + 61849396.

It is an arithmetic number, because the mean of its divisors is an integer number (1239194091457).

Almost surely, 2^{10567239031441} is an apocalyptic number.

10567239031441 is the 3250729-th square number.

10567239031441 is the 1625365-th centered octagonal number.

It is an amenable number.

10567239031441 is a deficient number, since it is larger than the sum of its proper divisors (585507791672).

10567239031441 is an frugal number, since it uses more digits than its factorization.

10567239031441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342220 (or 171110 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 10567239031441 in words is "ten trillion, five hundred sixty-seven billion, two hundred thirty-nine million, thirty-one thousand, four hundred forty-one".