131563 has 8 divisors (see below), whose sum is σ = 142560. Its totient is φ = 120960.

The previous prime is 131561. The next prime is 131581. The reversal of 131563 is 365131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131563 - 2¹ = 131561 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131563.

It is not an unprimeable number, because it can be changed into a prime (131561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1153 + ... + 1261.

It is an arithmetic number, because the mean of its divisors is an integer number (17820).

2¹³¹⁵⁶³ is an apocalyptic number.

131563 is a deficient number, since it is larger than the sum of its proper divisors (10997).

131563 is a wasteful number, since it uses less digits than its factorization.

131563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197.

The product of its digits is 270, while the sum is 19.

The square root of 131563 is about 362.7161424585. The cubic root of 131563 is about 50.8601834921.

Adding to 131563 its reverse (365131), we get a palindrome (496694).

It can be divided in two parts, 1315 and 63, that added together give a triangular number (1378 = T₅₂).

The spelling of 131563 in words is "one hundred thirty-one thousand, five hundred sixty-three".