1012135241 has 16 divisors (see below), whose sum is σ = 1118917968. Its totient is φ = 909792000.

The previous prime is 1012135231. The next prime is 1012135253. The reversal of 1012135241 is 1425312101.

It can be written as a sum of positive squares in 8 ways, for example, as 182925625 + 829209616 = 13525^2 + 28796^2 .

It is not a de Polignac number, because 1012135241 - 2²⁶ = 945026377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012135211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 73775 + ... + 86411.

It is an arithmetic number, because the mean of its divisors is an integer number (69932373).

Almost surely, 2^1012135241 is an apocalyptic number.

It is an amenable number.

1012135241 is a deficient number, since it is larger than the sum of its proper divisors (106782727).

1012135241 is a wasteful number, since it uses less digits than its factorization.

1012135241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12812.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1012135241 is about 31814.0730023680. The cubic root of 1012135241 is about 1004.0288270877.

Adding to 1012135241 its reverse (1425312101), we get a palindrome (2437447342).

The spelling of 1012135241 in words is "one billion, twelve million, one hundred thirty-five thousand, two hundred forty-one".