1152305310 has 64 divisors (see below), whose sum is σ = 2984873472. Its totient is φ = 283015296.

The previous prime is 1152305303. The next prime is 1152305333. The reversal of 1152305310 is 135032511.

It is a super-2 number, since 2×1152305310² = 2655615054908392200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186897 + ... + 192963.

It is an arithmetic number, because the mean of its divisors is an integer number (46638648).

Almost surely, 2^1152305310 is an apocalyptic number.

1152305310 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 1152305310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492436736).

1152305310 is an abundant number, since it is smaller than the sum of its proper divisors (1832568162).

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

1152305310 is a wasteful number, since it uses less digits than its factorization.

1152305310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6577.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1152305310 is about 33945.6228400658. The cubic root of 1152305310 is about 1048.3891581326.

Adding to 1152305310 its reverse (135032511), we get a palindrome (1287337821).

The spelling of 1152305310 in words is "one billion, one hundred fifty-two million, three hundred five thousand, three hundred ten".