1505042413033 has 16 divisors (see below), whose sum is σ = 1623756618000. Its totient is φ = 1389685579776.

The previous prime is 1505042413013. The next prime is 1505042413037. The reversal of 1505042413033 is 3303142405051.

It can be written as a sum of positive squares in 8 ways, for example, as 280098153049 + 1224944259984 = 529243^2 + 1106772^2 .

It is a cyclic number.

It is not a de Polignac number, because 1505042413033 - 2²⁵ = 1505008858601 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1505042412986 and 1505042413004.

It is not an unprimeable number, because it can be changed into a prime (1505042413037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14740843 + ... + 14842591.

It is an arithmetic number, because the mean of its divisors is an integer number (101484788625).

Almost surely, 2^{1505042413033} is an apocalyptic number.

It is an amenable number.

1505042413033 is a deficient number, since it is larger than the sum of its proper divisors (118714204967).

1505042413033 is a wasteful number, since it uses less digits than its factorization.

1505042413033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118236.

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 1505042413033 its reverse (3303142405051), we get a palindrome (4808184818084).

The spelling of 1505042413033 in words is "one trillion, five hundred five billion, forty-two million, four hundred thirteen thousand, thirty-three".