61235009561232 has 480 divisors, whose sum is σ = 196095395758080. Its totient is φ = 17705179376640.

The previous prime is 61235009561227. The next prime is 61235009561237. The reversal of 61235009561232 is 23216590053216.

61235009561232 is a `hidden beast` number, since 6 + 1 + 2 + 3 + 50 + 0 + 9 + 561 + 2 + 32 = 666.

61235009561232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61235009561227) and next prime (61235009561237).

It is not an unprimeable number, because it can be changed into a prime (61235009561237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 346304619 + ... + 346481397.

It is an arithmetic number, because the mean of its divisors is an integer number (408532074496).

Almost surely, 2^{61235009561232} is an apocalyptic number.

61235009561232 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61235009561232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98047697879040).

61235009561232 is an abundant number, since it is smaller than the sum of its proper divisors (134860386196848).

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

61235009561232 is a wasteful number, since it uses less digits than its factorization.

61235009561232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177011 (or 177002 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 61235009561232 in words is "sixty-one trillion, two hundred thirty-five billion, nine million, five hundred sixty-one thousand, two hundred thirty-two".