1038085106519 has 8 divisors (see below), whose sum is σ = 1047417117072. Its totient is φ = 1028755647360.

The previous prime is 1038085106507. The next prime is 1038085106533. The reversal of 1038085106519 is 9156015808301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1038085106519 - 2¹² = 1038085102423 is a prime.

It is a super-2 number, since 2×1038085106519² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038085100519) 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 7 ways as a sum of consecutive naturals, for example, 184289 + ... + 1452629.

It is an arithmetic number, because the mean of its divisors is an integer number (130927139634).

Almost surely, 2^{1038085106519} is an apocalyptic number.

1038085106519 is a deficient number, since it is larger than the sum of its proper divisors (9332010553).

1038085106519 is a wasteful number, since it uses less digits than its factorization.

1038085106519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275697.

The product of its (nonzero) digits is 259200, while the sum is 47.

The spelling of 1038085106519 in words is "one trillion, thirty-eight billion, eighty-five million, one hundred six thousand, five hundred nineteen".