1305121552 has 160 divisors (see below), whose sum is σ = 3299788800. Its totient is φ = 486549504.

The previous prime is 1305121541. The next prime is 1305121577. The reversal of 1305121552 is 2551215031.

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, 1555149 + ... + 1555987.

It is an arithmetic number, because the mean of its divisors is an integer number (20623680).

Almost surely, 2^1305121552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305121552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649894400).

1305121552 is an abundant number, since it is smaller than the sum of its proper divisors (1994667248).

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

1305121552 is a wasteful number, since it uses less digits than its factorization.

1305121552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 1305121552 is about 36126.4660878974. The cubic root of 1305121552 is about 1092.8242422990.

Adding to 1305121552 its reverse (2551215031), we get a palindrome (3856336583).

The spelling of 1305121552 in words is "one billion, three hundred five million, one hundred twenty-one thousand, five hundred fifty-two".