10253233132305 has 32 divisors (see below), whose sum is σ = 16412969295360. Its totient is φ = 5465792928000.

The previous prime is 10253233132301. The next prime is 10253233132313. The reversal of 10253233132305 is 50323133235201.

It is a happy number.

It is not a de Polignac number, because 10253233132305 - 2² = 10253233132301 is a prime.

It is a super-2 number, since 2×10253233132305² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10253233132301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303073131 + ... + 303106959.

It is an arithmetic number, because the mean of its divisors is an integer number (512905290480).

Almost surely, 2^{10253233132305} is an apocalyptic number.

10253233132305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10253233132305 is a deficient number, since it is larger than the sum of its proper divisors (6159736163055).

10253233132305 is a wasteful number, since it uses less digits than its factorization.

10253233132305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42841.

The product of its (nonzero) digits is 48600, while the sum is 33.

Adding to 10253233132305 its reverse (50323133235201), we get a palindrome (60576366367506).

The spelling of 10253233132305 in words is "ten trillion, two hundred fifty-three billion, two hundred thirty-three million, one hundred thirty-two thousand, three hundred five".