1305164331 has 6 divisors (see below), whose sum is σ = 1885237380. Its totient is φ = 870109548.

The previous prime is 1305164323. The next prime is 1305164347. The reversal of 1305164331 is 1334615031.

1305164331 is a `hidden beast` number, since 13 + 0 + 5 + 1 + 643 + 3 + 1 = 666.

It is not a de Polignac number, because 1305164331 - 2³ = 1305164323 is a prime.

It is a super-2 number, since 2×1305164331² = 3406907861829355122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1305164295 and 1305164304.

It is not an unprimeable number, because it can be changed into a prime (1305164431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72509121 + ... + 72509138.

It is an arithmetic number, because the mean of its divisors is an integer number (314206230).

Almost surely, 2^1305164331 is an apocalyptic number.

1305164331 is a deficient number, since it is larger than the sum of its proper divisors (580073049).

1305164331 is a wasteful number, since it uses less digits than its factorization.

1305164331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145018265 (or 145018262 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1305164331 is about 36127.0581559030. The cubic root of 1305164331 is about 1092.8361822896.

Adding to 1305164331 its reverse (1334615031), we get a palindrome (2639779362).

The spelling of 1305164331 in words is "one billion, three hundred five million, one hundred sixty-four thousand, three hundred thirty-one".