1305963972 has 60 divisors (see below), whose sum is σ = 3417939756. Its totient is φ = 434825280.

The previous prime is 1305963961. The next prime is 1305963983. The reversal of 1305963972 is 2793695031.

1305963972 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 9 + 639 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1305963961) and next prime (1305963983).

It can be written as a sum of positive squares in 2 ways, for example, as 1215637956 + 90326016 = 34866^2 + 9504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 380938 + ... + 384350.

Almost surely, 2^1305963972 is an apocalyptic number.

1305963972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1305963972 is an abundant number, since it is smaller than the sum of its proper divisors (2111975784).

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

1305963972 is a wasteful number, since it uses less digits than its factorization.

1305963972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4610 (or 4599 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 1305963972 is about 36138.1235262707. The cubic root of 1305963972 is about 1093.0593210394.

The spelling of 1305963972 in words is "one billion, three hundred five million, nine hundred sixty-three thousand, nine hundred seventy-two".