1005252105331 has 4 divisors (see below), whose sum is σ = 1005887136672. Its totient is φ = 1004617073992.

The previous prime is 1005252105307. The next prime is 1005252105397. The reversal of 1005252105331 is 1335012525001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 1005252105331 - 2¹⁵ = 1005252072563 is a prime.

It is a super-2 number, since 2×1005252105331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005252105331.

It is not an unprimeable number, because it can be changed into a prime (1005252105301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 317513296 + ... + 317516461.

It is an arithmetic number, because the mean of its divisors is an integer number (251471784168).

Almost surely, 2^{1005252105331} is an apocalyptic number.

1005252105331 is a deficient number, since it is larger than the sum of its proper divisors (635031341).

1005252105331 is an equidigital number, since it uses as much as digits as its factorization.

1005252105331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635031340.

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 1005252105331 in words is "one trillion, five billion, two hundred fifty-two million, one hundred five thousand, three hundred thirty-one".