1305249834 has 64 divisors (see below), whose sum is σ = 3180384000. Its totient is φ = 348607488.

The previous prime is 1305249833. The next prime is 1305249853. The reversal of 1305249834 is 4389425031.

It is a junction number, because it is equal to n+sod(n) for n = 1305249792 and 1305249801.

It is not an unprimeable number, because it can be changed into a prime (1305249833) by changing a digit.

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, 100252 + ... + 112520.

It is an arithmetic number, because the mean of its divisors is an integer number (49693500).

Almost surely, 2^1305249834 is an apocalyptic number.

1305249834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305249834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590192000).

1305249834 is an abundant number, since it is smaller than the sum of its proper divisors (1875134166).

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

1305249834 is a wasteful number, since it uses less digits than its factorization.

1305249834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12447.

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 1305249834 is about 36128.2415016286. The cubic root of 1305249834 is about 1092.8600461382.

The spelling of 1305249834 in words is "one billion, three hundred five million, two hundred forty-nine thousand, eight hundred thirty-four".