1005252115335 has 32 divisors (see below), whose sum is σ = 1732185604800. Its totient is φ = 494876525568.

The previous prime is 1005252115291. The next prime is 1005252115369. The reversal of 1005252115335 is 5335112525001.

It is a happy number.

It is not a de Polignac number, because 1005252115335 - 2⁸ = 1005252115079 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005252115296 and 1005252115305.

It is a congruent number.

It is an unprimeable number.

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, 7223491 + ... + 7361339.

It is an arithmetic number, because the mean of its divisors is an integer number (54130800150).

Almost surely, 2^{1005252115335} is an apocalyptic number.

1005252115335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005252115335 is a deficient number, since it is larger than the sum of its proper divisors (726933489465).

1005252115335 is a wasteful number, since it uses less digits than its factorization.

1005252115335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175267.

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 1005252115335 in words is "one trillion, five billion, two hundred fifty-two million, one hundred fifteen thousand, three hundred thirty-five".