1038327104052 has 72 divisors (see below), whose sum is σ = 2999780254016. Its totient is φ = 296648210304.

The previous prime is 1038327104051. The next prime is 1038327104053. The reversal of 1038327104052 is 2504017238301.

1038327104052 is a `hidden beast` number, since 1 + 0 + 383 + 271 + 0 + 4 + 0 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1038327104051) and next prime (1038327104053).

It is a super-3 number, since 3×1038327104052³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1038327103998 and 1038327104016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038327104051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4786983 + ... + 4999185.

Almost surely, 2^{1038327104052} is an apocalyptic number.

1038327104052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1038327104052 is an abundant number, since it is smaller than the sum of its proper divisors (1961453149964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1038327104052 is a wasteful number, since it uses less digits than its factorization.

1038327104052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231637 (or 231632 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1038327104052 in words is "one trillion, thirty-eight billion, three hundred twenty-seven million, one hundred four thousand, fifty-two".