61661294513252 has 48 divisors (see below), whose sum is σ = 125168225817600. Its totient is φ = 26030807000352.

The previous prime is 61661294513219. The next prime is 61661294513257. The reversal of 61661294513252 is 25231549216616.

61661294513252 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×61661294513252³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61661294513194 and 61661294513203.

It is not an unprimeable number, because it can be changed into a prime (61661294513257) 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 15 ways as a sum of consecutive naturals, for example, 47237249 + ... + 48525047.

It is an arithmetic number, because the mean of its divisors is an integer number (2607671371200).

Almost surely, 2^{61661294513252} is an apocalyptic number.

It is an amenable number.

61661294513252 is an abundant number, since it is smaller than the sum of its proper divisors (63506931304348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61661294513252 is a wasteful number, since it uses less digits than its factorization.

61661294513252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313400 (or 1313398 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 53.

The spelling of 61661294513252 in words is "sixty-one trillion, six hundred sixty-one billion, two hundred ninety-four million, five hundred thirteen thousand, two hundred fifty-two".