1253061144 has 64 divisors (see below), whose sum is σ = 3500949600. Its totient is φ = 415260288.

The previous prime is 1253061127. The next prime is 1253061149. The reversal of 1253061144 is 4411603521.

It is a happy number.

1253061144 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 0 + 611 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253061149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20602 + ... + 54134.

Almost surely, 2^1253061144 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 1253061144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750474800).

1253061144 is an abundant number, since it is smaller than the sum of its proper divisors (2247888456).

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

1253061144 is a wasteful number, since it uses less digits than its factorization.

1253061144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33721 (or 33711 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1253061144 is about 35398.6037012761. The cubic root of 1253061144 is about 1078.0959661595.

Adding to 1253061144 its reverse (4411603521), we get a palindrome (5664664665).

The spelling of 1253061144 in words is "one billion, two hundred fifty-three million, sixty-one thousand, one hundred forty-four".