1253125313 has 16 divisors (see below), whose sum is σ = 1379376000. Its totient is φ = 1128967680.

The previous prime is 1253125303. The next prime is 1253125319. The reversal of 1253125313 is 3135213521.

It is a cyclic number.

It is not a de Polignac number, because 1253125313 - 2¹⁶ = 1253059777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1253125319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1348433 + ... + 1349361.

It is an arithmetic number, because the mean of its divisors is an integer number (86211000).

Almost surely, 2^1253125313 is an apocalyptic number.

It is an amenable number.

1253125313 is a deficient number, since it is larger than the sum of its proper divisors (126250687).

1253125313 is a wasteful number, since it uses less digits than its factorization.

1253125313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912.

The product of its digits is 2700, while the sum is 26.

The square root of 1253125313 is about 35399.5100672312. The cubic root of 1253125313 is about 1078.1143688686.

Adding to 1253125313 its reverse (3135213521), we get a palindrome (4388338834).

The spelling of 1253125313 in words is "one billion, two hundred fifty-three million, one hundred twenty-five thousand, three hundred thirteen".