1252653125 has 12 divisors (see below), whose sum is σ = 1565720100. Its totient is φ = 1002120000.

The previous prime is 1252653119. The next prime is 1252653137. The reversal of 1252653125 is 5213562521.

It can be written as a sum of positive squares in 6 ways, for example, as 926958916 + 325694209 = 30446^2 + 18047^2 .

It is not a de Polignac number, because 1252653125 - 2¹⁰ = 1252652101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1252653091 and 1252653100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197300 + ... + 203549.

It is an arithmetic number, because the mean of its divisors is an integer number (130476675).

Almost surely, 2^1252653125 is an apocalyptic number.

It is an amenable number.

1252653125 is a deficient number, since it is larger than the sum of its proper divisors (313066975).

1252653125 is an frugal number, since it uses more digits than its factorization.

1252653125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400874 (or 400854 counting only the distinct ones).

The product of its digits is 18000, while the sum is 32.

The square root of 1252653125 is about 35392.8400245021. The cubic root of 1252653125 is about 1077.9789377146.

The spelling of 1252653125 in words is "one billion, two hundred fifty-two million, six hundred fifty-three thousand, one hundred twenty-five".