61335137309301 has 12 divisors (see below), whose sum is σ = 88596982908928. Its totient is φ = 40889267890344.

The previous prime is 61335137309293. The next prime is 61335137309357. The reversal of 61335137309301 is 10390373153316.

It is a happy number.

61335137309301 is a `hidden beast` number, since 6 + 1 + 3 + 3 + 5 + 1 + 37 + 309 + 301 = 666.

61335137309301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61335137309301 - 2³ = 61335137309293 is a prime.

It is a super-2 number, since 2×61335137309301² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61335137302301) 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 11 ways as a sum of consecutive naturals, for example, 68165635 + ... + 69059568.

Almost surely, 2^{61335137309301} is an apocalyptic number.

It is an amenable number.

61335137309301 is a deficient number, since it is larger than the sum of its proper divisors (27261845599627).

61335137309301 is a wasteful number, since it uses less digits than its factorization.

61335137309301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137274872 (or 137274869 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 45.

The spelling of 61335137309301 in words is "sixty-one trillion, three hundred thirty-five billion, one hundred thirty-seven million, three hundred nine thousand, three hundred one".