1305081834 has 64 divisors (see below), whose sum is σ = 3162611712. Its totient is φ = 351086400.

The previous prime is 1305081821. The next prime is 1305081851. The reversal of 1305081834 is 4381805031.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1305081795 and 1305081804.

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, 34629 + ... + 61719.

It is an arithmetic number, because the mean of its divisors is an integer number (49415808).

Almost surely, 2^1305081834 is an apocalyptic number.

1305081834 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 1305081834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581305856).

1305081834 is an abundant number, since it is smaller than the sum of its proper divisors (1857529878).

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

1305081834 is a wasteful number, since it uses less digits than its factorization.

1305081834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27171.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 1305081834 is about 36125.9163759205. The cubic root of 1305081834 is about 1092.8131564264.

Adding to 1305081834 its reverse (4381805031), we get a palindrome (5686886865).

The spelling of 1305081834 in words is "one billion, three hundred five million, eighty-one thousand, eight hundred thirty-four".