61305304133801 has 32 divisors (see below), whose sum is σ = 75921311563776. Its totient is φ = 48204526536000.

The previous prime is 61305304133797. The next prime is 61305304133813. The reversal of 61305304133801 is 10833140350316.

It is a cyclic number.

It is not a de Polignac number, because 61305304133801 - 2² = 61305304133797 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61305304133851) 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 31 ways as a sum of consecutive naturals, for example, 16209266 + ... + 19630356.

It is an arithmetic number, because the mean of its divisors is an integer number (2372540986368).

Almost surely, 2^{61305304133801} is an apocalyptic number.

It is an amenable number.

61305304133801 is a deficient number, since it is larger than the sum of its proper divisors (14616007429975).

61305304133801 is a wasteful number, since it uses less digits than its factorization.

61305304133801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422333.

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 61305304133801 in words is "sixty-one trillion, three hundred five billion, three hundred four million, one hundred thirty-three thousand, eight hundred one".