61306133 has 16 divisors (see below), whose sum is σ = 72192000. Its totient is φ = 50976432.

The previous prime is 61306123. The next prime is 61306153. The reversal of 61306133 is 33160316.

It is a cyclic number.

It is not a de Polignac number, because 61306133 - 2⁸ = 61305877 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61306099 and 61306108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61306123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31688 + ... + 33566.

It is an arithmetic number, because the mean of its divisors is an integer number (4512000).

Almost surely, 2^61306133 is an apocalyptic number.

It is an amenable number.

61306133 is a deficient number, since it is larger than the sum of its proper divisors (10885867).

61306133 is a wasteful number, since it uses less digits than its factorization.

61306133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024.

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 61306133 is about 7829.8233057969. The cubic root of 61306133 is about 394.3071398112.

Adding to 61306133 its reverse (33160316), we get a palindrome (94466449).

The spelling of 61306133 in words is "sixty-one million, three hundred six thousand, one hundred thirty-three".