1038085106521 has 8 divisors (see below), whose sum is σ = 1042540864200. Its totient is φ = 1033630575360.

The previous prime is 1038085106507. The next prime is 1038085106533. The reversal of 1038085106521 is 1256015808301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 417330212121 + 620754894400 = 646011^2 + 787880^2 .

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 1038085106521 - 2⁷ = 1038085106393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1038085106561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1410315 + ... + 2016223.

It is an arithmetic number, because the mean of its divisors is an integer number (130317608025).

Almost surely, 2^{1038085106521} is an apocalyptic number.

It is an amenable number.

1038085106521 is a deficient number, since it is larger than the sum of its proper divisors (4455757679).

1038085106521 is an equidigital number, since it uses as much as digits as its factorization.

1038085106521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613259.

The product of its (nonzero) digits is 57600, while the sum is 40.

The spelling of 1038085106521 in words is "one trillion, thirty-eight billion, eighty-five million, one hundred six thousand, five hundred twenty-one".