1023015041 has 2 divisors, whose sum is σ = 1023015042. Its totient is φ = 1023015040.

The previous prime is 1023015017. The next prime is 1023015047. The reversal of 1023015041 is 1405103201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 972192400 + 50822641 = 31180^2 + 7129^2 .

It is an emirp because it is prime and its reverse (1405103201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1023015041 - 2⁶ = 1023014977 is a prime.

It is a super-2 number, since 2×1023015041² = 2093119548224463362, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1023015047) 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 as a sum of consecutive naturals, namely, 511507520 + 511507521.

It is an arithmetic number, because the mean of its divisors is an integer number (511507521).

Almost surely, 2^1023015041 is an apocalyptic number.

It is an amenable number.

1023015041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023015041 is an equidigital number, since it uses as much as digits as its factorization.

1023015041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1023015041 is about 31984.6063130375. The cubic root of 1023015041 is about 1007.6135668232.

Adding to 1023015041 its reverse (1405103201), we get a palindrome (2428118242).

The spelling of 1023015041 in words is "one billion, twenty-three million, fifteen thousand, forty-one".