61305604120233 has 32 divisors (see below), whose sum is σ = 99080810150400. Its totient is φ = 37154519370000.

The previous prime is 61305604120223. The next prime is 61305604120289. The reversal of 61305604120233 is 33202140650316.

61305604120233 is a `hidden beast` number, since 6 + 1 + 3 + 0 + 5 + 6 + 0 + 412 + 0 + 233 = 666.

It is not a de Polignac number, because 61305604120233 - 2²² = 61305599925929 is a prime.

It is a super-3 number, since 3×61305604120233³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (61305604120223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28437678 + ... + 30517416.

It is an arithmetic number, because the mean of its divisors is an integer number (3096275317200).

Almost surely, 2^{61305604120233} is an apocalyptic number.

It is an amenable number.

61305604120233 is a deficient number, since it is larger than the sum of its proper divisors (37775206030167).

61305604120233 is a wasteful number, since it uses less digits than its factorization.

61305604120233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179010 (or 2179004 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 61305604120233 its reverse (33202140650316), we get a palindrome (94507744770549).

The spelling of 61305604120233 in words is "sixty-one trillion, three hundred five billion, six hundred four million, one hundred twenty thousand, two hundred thirty-three".