10167036039241 has 27 divisors (see below), whose sum is σ = 10784502204021. Its totient is φ = 9584409318624.

The previous prime is 10167036039151. The next prime is 10167036039253. The reversal of 10167036039241 is 14293063076101.

The square root of 10167036039241 is 3188579.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22199510025 + 10144836529216 = 148995^2 + 3185096^2 .

It is not a de Polignac number, because 10167036039241 - 2⁹ = 10167036038729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10167036039541) 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 26 ways as a sum of consecutive naturals, for example, 3976156735 + ... + 3976159291.

Almost surely, 2^{10167036039241} is an apocalyptic number.

10167036039241 is the 3188579-th square number.

10167036039241 is the 1594290-th centered octagonal number.

It is an amenable number.

10167036039241 is a deficient number, since it is larger than the sum of its proper divisors (617466164780).

10167036039241 is an frugal number, since it uses more digits than its factorization.

10167036039241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5258 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 10167036039241 in words is "ten trillion, one hundred sixty-seven billion, thirty-six million, thirty-nine thousand, two hundred forty-one".