1305953952 has 24 divisors (see below), whose sum is σ = 3428129376. Its totient is φ = 435317952.

The previous prime is 1305953951. The next prime is 1305954043. The reversal of 1305953952 is 2593595031.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (1305953951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6801748 + ... + 6801939.

It is an arithmetic number, because the mean of its divisors is an integer number (142838724).

Almost surely, 2^1305953952 is an apocalyptic number.

1305953952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1305953952 is an abundant number, since it is smaller than the sum of its proper divisors (2122175424).

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

1305953952 is a wasteful number, since it uses less digits than its factorization.

1305953952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13603700 (or 13603692 counting only the distinct ones).

The product of its (nonzero) digits is 182250, while the sum is 42.

The square root of 1305953952 is about 36137.9848912470. The cubic root of 1305953952 is about 1093.0565255354.

The spelling of 1305953952 in words is "one billion, three hundred five million, nine hundred fifty-three thousand, nine hundred fifty-two".