1253306272 has 48 divisors (see below), whose sum is σ = 2603664000. Its totient is φ = 592220160.

The previous prime is 1253306233. The next prime is 1253306279. The reversal of 1253306272 is 2726033521.

It is a super-2 number, since 2×1253306272² = 3141553222869075968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1253306279) 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 7 ways as a sum of consecutive naturals, for example, 270697 + ... + 275287.

It is an arithmetic number, because the mean of its divisors is an integer number (54243000).

Almost surely, 2^1253306272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253306272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301832000).

1253306272 is an abundant number, since it is smaller than the sum of its proper divisors (1350357728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1253306272 is a wasteful number, since it uses less digits than its factorization.

1253306272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 1253306272 is about 35402.0659284172. The cubic root of 1253306272 is about 1078.1662618187.

Adding to 1253306272 its reverse (2726033521), we get a palindrome (3979339793).

The spelling of 1253306272 in words is "one billion, two hundred fifty-three million, three hundred six thousand, two hundred seventy-two".