1253133121 has 8 divisors (see below), whose sum is σ = 1327380264. Its totient is φ = 1178945280.

The previous prime is 1253133107. The next prime is 1253133151. The reversal of 1253133121 is 1213313521.

It can be written as a sum of positive squares in 4 ways, for example, as 542377521 + 710755600 = 23289^2 + 26660^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1253133121 - 2⁹ = 1253132609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1253133092 and 1253133101.

It is not an unprimeable number, because it can be changed into a prime (1253133151) 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 7 ways as a sum of consecutive naturals, for example, 33151 + ... + 60043.

It is an arithmetic number, because the mean of its divisors is an integer number (165922533).

Almost surely, 2^1253133121 is an apocalyptic number.

It is an amenable number.

1253133121 is a deficient number, since it is larger than the sum of its proper divisors (74247143).

1253133121 is a wasteful number, since it uses less digits than its factorization.

1253133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29651.

The product of its digits is 540, while the sum is 22.

The square root of 1253133121 is about 35399.6203510716. The cubic root of 1253133121 is about 1078.1166080433.

Adding to 1253133121 its reverse (1213313521), we get a palindrome (2466446642).

The spelling of 1253133121 in words is "one billion, two hundred fifty-three million, one hundred thirty-three thousand, one hundred twenty-one".