1038948813 has 36 divisors (see below), whose sum is σ = 1748389500. Its totient is φ = 592776576.

The previous prime is 1038948811. The next prime is 1038948853. The reversal of 1038948813 is 3188498301.

It can be written as a sum of positive squares in 2 ways, for example, as 560126889 + 478821924 = 23667^2 + 21882^2 .

It is not a de Polignac number, because 1038948813 - 2¹ = 1038948811 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038948811) 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 35 ways as a sum of consecutive naturals, for example, 376563 + ... + 379311.

It is an arithmetic number, because the mean of its divisors is an integer number (48566375).

Almost surely, 2^1038948813 is an apocalyptic number.

It is an amenable number.

1038948813 is a deficient number, since it is larger than the sum of its proper divisors (709440687).

1038948813 is a wasteful number, since it uses less digits than its factorization.

1038948813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1038948813 is about 32232.7289102242. The cubic root of 1038948813 is about 1012.8179361852.

The spelling of 1038948813 in words is "one billion, thirty-eight million, nine hundred forty-eight thousand, eight hundred thirteen".