1005223534125 has 96 divisors (see below), whose sum is σ = 1824904353792. Its totient is φ = 490943462400.

The previous prime is 1005223534109. The next prime is 1005223534129. The reversal of 1005223534125 is 5214353225001.

It is not a de Polignac number, because 1005223534125 - 2⁴ = 1005223534109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005223534129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3884532 + ... + 4135218.

It is an arithmetic number, because the mean of its divisors is an integer number (19009420352).

Almost surely, 2^{1005223534125} is an apocalyptic number.

1005223534125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005223534125 is a deficient number, since it is larger than the sum of its proper divisors (819680819667).

1005223534125 is a wasteful number, since it uses less digits than its factorization.

1005223534125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250776 (or 250749 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 1005223534125 its reverse (5214353225001), we get a palindrome (6219576759126).

The spelling of 1005223534125 in words is "one trillion, five billion, two hundred twenty-three million, five hundred thirty-four thousand, one hundred twenty-five".