1253041152 has 132 divisors (see below), whose sum is σ = 3672121488. Its totient is φ = 379596800.

The previous prime is 1253041133. The next prime is 1253041171. The reversal of 1253041152 is 2511403521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1253041133) and next prime (1253041171).

It is a tau number, because it is divible by the number of its divisors (132).

It is a super-2 number, since 2×1253041152² = 3140224257210974208, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 370027 + ... + 373397.

Almost surely, 2^1253041152 is an apocalyptic number.

1253041152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836060744).

1253041152 is an abundant number, since it is smaller than the sum of its proper divisors (2419080336).

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

1253041152 is a wasteful number, since it uses less digits than its factorization.

1253041152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1253041152 is about 35398.3213161302. The cubic root of 1253041152 is about 1078.0902326247.

Adding to 1253041152 its reverse (2511403521), we get a palindrome (3764444673).

The spelling of 1253041152 in words is "one billion, two hundred fifty-three million, forty-one thousand, one hundred fifty-two".