1013085241 has 9 divisors (see below), whose sum is σ = 1178746149. Its totient is φ = 868167804.

The previous prime is 1013085211. The next prime is 1013085251. The reversal of 1013085241 is 1425803101.

The square root of 1013085241 is 31829.

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

1013085241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1013085241 - 2¹⁷ = 1012954169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1013085211) 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, 220530 + ... + 225076.

Almost surely, 2^1013085241 is an apocalyptic number.

1013085241 is the 31829-th square number.

1013085241 is the 15915-th centered octagonal number.

It is an amenable number.

1013085241 is a deficient number, since it is larger than the sum of its proper divisors (165660908).

1013085241 is an frugal number, since it uses more digits than its factorization.

1013085241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9108 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The cubic root of 1013085241 is about 1004.3428592706.

Multiplying 1013085241 by its sum of digits (25), we get a square (25327131025 = 159145²).

Adding to 1013085241 its reverse (1425803101), we get a palindrome (2438888342).

The spelling of 1013085241 in words is "one billion, thirteen million, eighty-five thousand, two hundred forty-one".