131617251 has 16 divisors (see below), whose sum is σ = 200260000. Its totient is φ = 85372704.

The previous prime is 131617243. The next prime is 131617267. The reversal of 131617251 is 152716131.

It is not a de Polignac number, because 131617251 - 2³ = 131617243 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131617231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64876 + ... + 66873.

It is an arithmetic number, because the mean of its divisors is an integer number (12516250).

Almost surely, 2^131617251 is an apocalyptic number.

131617251 is a deficient number, since it is larger than the sum of its proper divisors (68642749).

131617251 is a wasteful number, since it uses less digits than its factorization.

131617251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131795 (or 131789 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 131617251 is about 11472.4561886285. The cubic root of 131617251 is about 508.6717339210.

The spelling of 131617251 in words is "one hundred thirty-one million, six hundred seventeen thousand, two hundred fifty-one".