1253605350 has 48 divisors (see below), whose sum is σ = 3120514560. Its totient is φ = 333050400.

The previous prime is 1253605319. The next prime is 1253605369. The reversal of 1253605350 is 535063521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25231 + ... + 56069.

It is an arithmetic number, because the mean of its divisors is an integer number (65010720).

Almost surely, 2^1253605350 is an apocalyptic number.

1253605350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253605350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560257280).

1253605350 is an abundant number, since it is smaller than the sum of its proper divisors (1866909210).

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

1253605350 is a wasteful number, since it uses less digits than its factorization.

1253605350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31125 (or 31120 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 1253605350 is about 35406.2896954764. The cubic root of 1253605350 is about 1078.2520163733.

Adding to 1253605350 its reverse (535063521), we get a palindrome (1788668871).

The spelling of 1253605350 in words is "one billion, two hundred fifty-three million, six hundred five thousand, three hundred fifty".