1038285131 has 24 divisors (see below), whose sum is σ = 1165953024. Its totient is φ = 923551200.

The previous prime is 1038285109. The next prime is 1038285133. The reversal of 1038285131 is 1315828301.

It is not a de Polignac number, because 1038285131 - 2¹⁸ = 1038022987 is a prime.

It is a super-2 number, since 2×1038285131² = 2156072026511374322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1038285133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531206 + ... + 533156.

It is an arithmetic number, because the mean of its divisors is an integer number (48581376).

Almost surely, 2^1038285131 is an apocalyptic number.

1038285131 is a deficient number, since it is larger than the sum of its proper divisors (127667893).

1038285131 is a wasteful number, since it uses less digits than its factorization.

1038285131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 1038285131 is about 32222.4321087034. The cubic root of 1038285131 is about 1012.6022270608.

The spelling of 1038285131 in words is "one billion, thirty-eight million, two hundred eighty-five thousand, one hundred thirty-one".