10136261041 has 9 divisors (see below), whose sum is σ = 10268321259. Its totient is φ = 10005881736.

The previous prime is 10136260973. The next prime is 10136261099. The reversal of 10136261041 is 14016263101.

The square root of 10136261041 is 100679.

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

It can be written as a sum of positive squares in only one way, i.e., 413512225 + 9722748816 = 20335^2 + 98604^2 .

It is not a de Polignac number, because 10136261041 - 2⁹ = 10136260529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10136260997 and 10136261015.

It is not an unprimeable number, because it can be changed into a prime (10136261141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8355751 + ... + 8356963.

Almost surely, 2^10136261041 is an apocalyptic number.

10136261041 is the 100679-th square number.

10136261041 is the 50340-th centered octagonal number.

It is an amenable number.

10136261041 is a deficient number, since it is larger than the sum of its proper divisors (132060218).

10136261041 is an frugal number, since it uses more digits than its factorization.

10136261041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Multiplying 10136261041 by its sum of digits (25), we get a square (253406526025 = 503395²).

The spelling of 10136261041 in words is "ten billion, one hundred thirty-six million, two hundred sixty-one thousand, forty-one".