1032020041 has 16 divisors (see below), whose sum is σ = 1127322000. Its totient is φ = 939091968.

The previous prime is 1032020027. The next prime is 1032020057. The reversal of 1032020041 is 1400202301.

It can be written as a sum of positive squares in 8 ways, for example, as 64561225 + 967458816 = 8035^2 + 31104^2 .

It is a cyclic number.

It is not a de Polignac number, because 1032020041 - 2⁵ = 1032020009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1032021041) 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 15 ways as a sum of consecutive naturals, for example, 263425 + ... + 267313.

It is an arithmetic number, because the mean of its divisors is an integer number (70457625).

Almost surely, 2^1032020041 is an apocalyptic number.

It is an amenable number.

1032020041 is a deficient number, since it is larger than the sum of its proper divisors (95301959).

1032020041 is a wasteful number, since it uses less digits than its factorization.

1032020041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1032020041 is about 32125.0687314440. The cubic root of 1032020041 is about 1010.5614109143.

Adding to 1032020041 its reverse (1400202301), we get a palindrome (2432222342).

The spelling of 1032020041 in words is "one billion, thirty-two million, twenty thousand, forty-one".