180538653753 has 18 divisors (see below), whose sum is σ = 276125979402. Its totient is φ = 113275857600.

The previous prime is 180538653731. The next prime is 180538653793. The reversal of 180538653753 is 357356835081.

180538653753 is a `hidden beast` number, since 1 + 8 + 0 + 53 + 8 + 6 + 537 + 53 = 666.

It can be written as a sum of positive squares in only one way, i.e., 169918732944 + 10619920809 = 412212^2 + 103053^2 .

It is not a de Polignac number, because 180538653753 - 2⁸ = 180538653497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 180538653753.

It is not an unprimeable number, because it can be changed into a prime (180538653703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5238528 + ... + 5272878.

It is an arithmetic number, because the mean of its divisors is an integer number (15340332189).

Almost surely, 2^180538653753 is an apocalyptic number.

It is an amenable number.

180538653753 is a deficient number, since it is larger than the sum of its proper divisors (95587325649).

180538653753 is an frugal number, since it uses more digits than its factorization.

180538653753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68725 (or 34371 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 180538653753 in words is "one hundred eighty billion, five hundred thirty-eight million, six hundred fifty-three thousand, seven hundred fifty-three".