130653 has 10 divisors (see below), whose sum is σ = 195294. Its totient is φ = 87048.

The previous prime is 130651. The next prime is 130657. The reversal of 130653 is 356031.

130653 is a `hidden beast` number, since 13 + 0 + 653 = 666.

It can be written as a sum of positive squares in only one way, i.e., 116964 + 13689 = 342^2 + 117^2 .

It is not a de Polignac number, because 130653 - 2¹ = 130651 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 726 + ... + 887.

2¹³⁰⁶⁵³ is an apocalyptic number.

It is an amenable number.

130653 is a deficient number, since it is larger than the sum of its proper divisors (64641).

130653 is an equidigital number, since it uses as much as digits as its factorization.

130653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 130653 is about 361.4595413044. The cubic root of 130653 is about 50.7426481945.

Adding to 130653 its reverse (356031), we get a palindrome (486684).

The spelling of 130653 in words is "one hundred thirty thousand, six hundred fifty-three".