1253516025 has 24 divisors (see below), whose sum is σ = 2078172544. Its totient is φ = 666705600.

The previous prime is 1253515979. The next prime is 1253516041. The reversal of 1253516025 is 5206153521.

It is a happy number.

It is not a de Polignac number, because 1253516025 - 2¹³ = 1253507833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1253515983 and 1253516001.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4755 + ... + 50295.

Almost surely, 2^1253516025 is an apocalyptic number.

1253516025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1253516025 is a deficient number, since it is larger than the sum of its proper divisors (824656519).

1253516025 is a wasteful number, since it uses less digits than its factorization.

1253516025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45921 (or 45916 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 1253516025 is about 35405.0282445870. The cubic root of 1253516025 is about 1078.2264056686.

Adding to 1253516025 its reverse (5206153521), we get a palindrome (6459669546).

The spelling of 1253516025 in words is "one billion, two hundred fifty-three million, five hundred sixteen thousand, twenty-five".