1305765132 has 72 divisors (see below), whose sum is σ = 3564091440. Its totient is φ = 370984320.

The previous prime is 1305765119. The next prime is 1305765137. The reversal of 1305765132 is 2315675031.

It is a junction number, because it is equal to n+sod(n) for n = 1305765093 and 1305765102.

It is not an unprimeable number, because it can be changed into a prime (1305765137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100294 + ... + 112562.

It is an arithmetic number, because the mean of its divisors is an integer number (49501270).

Almost surely, 2^1305765132 is an apocalyptic number.

1305765132 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 1305765132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782045720).

1305765132 is an abundant number, since it is smaller than the sum of its proper divisors (2258326308).

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

1305765132 is a wasteful number, since it uses less digits than its factorization.

1305765132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12471 (or 12462 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 1305765132 is about 36135.3723102447. The cubic root of 1305765132 is about 1093.0038435143.

The spelling of 1305765132 in words is "one billion, three hundred five million, seven hundred sixty-five thousand, one hundred thirty-two".