1253105125 has 16 divisors (see below), whose sum is σ = 1564872192. Its totient is φ = 1001845200.

The previous prime is 1253105123. The next prime is 1253105131. The reversal of 1253105125 is 5215013521.

It is not a de Polignac number, because 1253105125 - 2¹ = 1253105123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1253105125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253105123) 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 15 ways as a sum of consecutive naturals, for example, 344064 + ... + 347686.

It is an arithmetic number, because the mean of its divisors is an integer number (97804512).

Almost surely, 2^1253105125 is an apocalyptic number.

It is an amenable number.

1253105125 is a deficient number, since it is larger than the sum of its proper divisors (311767067).

1253105125 is an equidigital number, since it uses as much as digits as its factorization.

1253105125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6405 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 1253105125 is about 35399.2249208934. The cubic root of 1253105125 is about 1078.1085793200.

Adding to 1253105125 its reverse (5215013521), we get a palindrome (6468118646).

The spelling of 1253105125 in words is "one billion, two hundred fifty-three million, one hundred five thousand, one hundred twenty-five".