1253101344 has 192 divisors, whose sum is σ = 3750727680. Its totient is φ = 362880000.

The previous prime is 1253101337. The next prime is 1253101351. The reversal of 1253101344 is 4431013521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1253101337) and next prime (1253101351).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3306147 + ... + 3306525.

It is an arithmetic number, because the mean of its divisors is an integer number (19535040).

Almost surely, 2^1253101344 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 1253101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875363840).

1253101344 is an abundant number, since it is smaller than the sum of its proper divisors (2497626336).

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

1253101344 is a wasteful number, since it uses less digits than its factorization.

1253101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1253101344 is about 35399.1715157290. The cubic root of 1253101344 is about 1078.1074949916.

Adding to 1253101344 its reverse (4431013521), we get a palindrome (5684114865).

The spelling of 1253101344 in words is "one billion, two hundred fifty-three million, one hundred one thousand, three hundred forty-four".