1005341535231 has 32 divisors (see below), whose sum is σ = 1479576043008. Its totient is φ = 602147975040.

The previous prime is 1005341535227. The next prime is 1005341535293. The reversal of 1005341535231 is 1325351435001.

It is not a de Polignac number, because 1005341535231 - 2² = 1005341535227 is a prime.

It is a super-2 number, since 2×1005341535231² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1005341535192 and 1005341535201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005341536231) 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 31 ways as a sum of consecutive naturals, for example, 426165 + ... + 1480641.

It is an arithmetic number, because the mean of its divisors is an integer number (46236751344).

Almost surely, 2^{1005341535231} is an apocalyptic number.

1005341535231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1005341535231 is a deficient number, since it is larger than the sum of its proper divisors (474234507777).

1005341535231 is a wasteful number, since it uses less digits than its factorization.

1005341535231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054831.

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 1005341535231 in words is "one trillion, five billion, three hundred forty-one million, five hundred thirty-five thousand, two hundred thirty-one".