1253173248 has 192 divisors, whose sum is σ = 3762158400. Its totient is φ = 412139520.

The previous prime is 1253173231. The next prime is 1253173279. The reversal of 1253173248 is 8423713521.

1253173248 is a `hidden beast` number, since 12 + 5 + 317 + 324 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 7243690 + ... + 7243862.

It is an arithmetic number, because the mean of its divisors is an integer number (19594575).

Almost surely, 2^1253173248 is an apocalyptic number.

1253173248 is a gapful number since it is divisible by the number (18) 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 1253173248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881079200).

1253173248 is an abundant number, since it is smaller than the sum of its proper divisors (2508985152).

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

1253173248 is a wasteful number, since it uses less digits than its factorization.

1253173248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 309 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 1253173248 is about 35400.1871181495. The cubic root of 1253173248 is about 1078.1281154995.

Adding to 1253173248 its reverse (8423713521), we get a palindrome (9676886769).

The spelling of 1253173248 in words is "one billion, two hundred fifty-three million, one hundred seventy-three thousand, two hundred forty-eight".