61146305253 has 24 divisors (see below), whose sum is σ = 100540964160. Its totient is φ = 35447132160.

The previous prime is 61146305251. The next prime is 61146305261. The reversal of 61146305253 is 35250364116.

61146305253 is a `hidden beast` number, since 6 + 1 + 14 + 630 + 5 + 2 + 5 + 3 = 666.

It is not a de Polignac number, because 61146305253 - 2¹ = 61146305251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61146305251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13424668 + ... + 13429221.

It is an arithmetic number, because the mean of its divisors is an integer number (4189206840).

Almost surely, 2^61146305253 is an apocalyptic number.

It is an amenable number.

61146305253 is a deficient number, since it is larger than the sum of its proper divisors (39394658907).

61146305253 is a wasteful number, since it uses less digits than its factorization.

61146305253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26853929 (or 26853926 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 61146305253 its reverse (35250364116), we get a palindrome (96396669369).

The spelling of 61146305253 in words is "sixty-one billion, one hundred forty-six million, three hundred five thousand, two hundred fifty-three".