61753044312153 has 14 divisors (see below), whose sum is σ = 92587211843594. Its totient is φ = 41168696207616.

The previous prime is 61753044312119. The next prime is 61753044312163. The reversal of 61753044312153 is 35121344035716.

61753044312153 is a `hidden beast` number, since 6 + 1 + 7 + 5 + 30 + 443 + 121 + 53 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54733999487049 + 7019044825104 = 7398243^2 + 2649348^2 .

It is not a de Polignac number, because 61753044312153 - 2¹⁰ = 61753044311129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61753044312099 and 61753044312108.

It is not an unprimeable number, because it can be changed into a prime (61753044312163) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 42354625000 + ... + 42354626457.

Almost surely, 2^{61753044312153} is an apocalyptic number.

It is an amenable number.

61753044312153 is a deficient number, since it is larger than the sum of its proper divisors (30834167531441).

61753044312153 is an frugal number, since it uses more digits than its factorization.

61753044312153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84709251475 (or 84709251460 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

Adding to 61753044312153 its reverse (35121344035716), we get a palindrome (96874388347869).

The spelling of 61753044312153 in words is "sixty-one trillion, seven hundred fifty-three billion, forty-four million, three hundred twelve thousand, one hundred fifty-three".