131563305 has 32 divisors (see below), whose sum is σ = 240220800. Its totient is φ = 68268096.

The previous prime is 131563303. The next prime is 131563309. The reversal of 131563305 is 503365131.

131563305 is a `hidden beast` number, since 13 + 15 + 633 + 0 + 5 = 666.

It is not a de Polignac number, because 131563305 - 2¹ = 131563303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131563303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8175 + ... + 18164.

It is an arithmetic number, because the mean of its divisors is an integer number (7506900).

Almost surely, 2^131563305 is an apocalyptic number.

131563305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131563305 is a deficient number, since it is larger than the sum of its proper divisors (108657495).

131563305 is a wasteful number, since it uses less digits than its factorization.

131563305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26390 (or 26384 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 131563305 is about 11470.1048382306. The cubic root of 131563305 is about 508.6022279480.

It can be divided in two parts, 13156 and 3305, that added together give a palindrome (16461).

The spelling of 131563305 in words is "one hundred thirty-one million, five hundred sixty-three thousand, three hundred five".