131553963 has 20 divisors (see below), whose sum is σ = 196891200. Its totient is φ = 87536592.

The previous prime is 131553959. The next prime is 131553971. The reversal of 131553963 is 369355131.

131553963 is a `hidden beast` number, since 13 + 1 + 553 + 96 + 3 = 666.

It is not a de Polignac number, because 131553963 - 2² = 131553959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131553913) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53638 + ... + 56036.

It is an arithmetic number, because the mean of its divisors is an integer number (9844560).

Almost surely, 2^131553963 is an apocalyptic number.

131553963 is a deficient number, since it is larger than the sum of its proper divisors (65337237).

131553963 is an equidigital number, since it uses as much as digits as its factorization.

131553963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3079 counting only the distinct ones).

The product of its digits is 36450, while the sum is 36.

The square root of 131553963 is about 11469.6975984548. The cubic root of 131553963 is about 508.5901894482.

It can be divided in two parts, 1315 and 53963, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 131553963 in words is "one hundred thirty-one million, five hundred fifty-three thousand, nine hundred sixty-three".