1005252001125 has 32 divisors (see below), whose sum is σ = 1693913295360. Its totient is φ = 529347873600.

The previous prime is 1005252001109. The next prime is 1005252001129. The reversal of 1005252001125 is 5211002525001.

1005252001125 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1005252001125 - 2⁴ = 1005252001109 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1005252001095 and 1005252001104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005252001129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16936654 + ... + 16995903.

It is an arithmetic number, because the mean of its divisors is an integer number (52934790480).

Almost surely, 2^{1005252001125} is an apocalyptic number.

1005252001125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005252001125 is a deficient number, since it is larger than the sum of its proper divisors (688661294235).

1005252001125 is an equidigital number, since it uses as much as digits as its factorization.

1005252001125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33932654 (or 33932644 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

Adding to 1005252001125 its reverse (5211002525001), we get a palindrome (6216254526126).

The spelling of 1005252001125 in words is "one trillion, five billion, two hundred fifty-two million, one thousand, one hundred twenty-five".