1251605352 has 64 divisors (see below), whose sum is σ = 3277584000. Its totient is φ = 397531904.

The previous prime is 1251605351. The next prime is 1251605371. The reversal of 1251605352 is 2535061521.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1251605351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144274 + ... + 152702.

It is an arithmetic number, because the mean of its divisors is an integer number (51212250).

Almost surely, 2^1251605352 is an apocalyptic number.

1251605352 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 1251605352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638792000).

1251605352 is an abundant number, since it is smaller than the sum of its proper divisors (2025978648).

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

1251605352 is a wasteful number, since it uses less digits than its factorization.

1251605352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8730 (or 8726 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 1251605352 is about 35378.0348804170. The cubic root of 1251605352 is about 1077.6782978796.

Adding to 1251605352 its reverse (2535061521), we get a palindrome (3786666873).

The spelling of 1251605352 in words is "one billion, two hundred fifty-one million, six hundred five thousand, three hundred fifty-two".