1023505041 has 32 divisors (see below), whose sum is σ = 1521676800. Its totient is φ = 607924224.

The previous prime is 1023505027. The next prime is 1023505061. The reversal of 1023505041 is 1405053201.

It is not a de Polignac number, because 1023505041 - 2¹⁴ = 1023488657 is a prime.

It is a super-3 number, since 3×1023505041³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023504999 and 1023505017.

It is not an unprimeable number, because it can be changed into a prime (1023505061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129985 + ... + 137633.

It is an arithmetic number, because the mean of its divisors is an integer number (47552400).

Almost surely, 2^1023505041 is an apocalyptic number.

It is an amenable number.

1023505041 is a deficient number, since it is larger than the sum of its proper divisors (498171759).

1023505041 is a wasteful number, since it uses less digits than its factorization.

1023505041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7785.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1023505041 is about 31992.2653308577. The cubic root of 1023505041 is about 1007.7744154978.

Adding to 1023505041 its reverse (1405053201), we get a palindrome (2428558242).

The spelling of 1023505041 in words is "one billion, twenty-three million, five hundred five thousand, forty-one".