1253503104 has 256 divisors, whose sum is σ = 4021248000. Its totient is φ = 345461760.

The previous prime is 1253503087. The next prime is 1253503117. The reversal of 1253503104 is 4013053521.

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, 4082919 + ... + 4083225.

It is an arithmetic number, because the mean of its divisors is an integer number (15708000).

Almost surely, 2^1253503104 is an apocalyptic number.

1253503104 is a gapful number since it is divisible by the number (14) 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 1253503104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010624000).

1253503104 is an abundant number, since it is smaller than the sum of its proper divisors (2767744896).

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

1253503104 is an equidigital number, since it uses as much as digits as its factorization.

1253503104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1253503104 is about 35404.8457700355. The cubic root of 1253503104 is about 1078.2227009397. Note that the first 3 decimals are identical.

Adding to 1253503104 its reverse (4013053521), we get a palindrome (5266556625).

The spelling of 1253503104 in words is "one billion, two hundred fifty-three million, five hundred three thousand, one hundred four".