61425210625729 has 2 divisors, whose sum is σ = 61425210625730. Its totient is φ = 61425210625728.

The previous prime is 61425210625661. The next prime is 61425210625741. The reversal of 61425210625729 is 92752601252416.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51999573811329 + 9425636814400 = 7211073^2 + 3070120^2 .

It is a cyclic number.

It is not a de Polignac number, because 61425210625729 - 2⁷ = 61425210625601 is a prime.

It is a super-3 number, since 3×61425210625729³ (a number of 42 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (61425210625769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30712605312864 + 30712605312865.

It is an arithmetic number, because the mean of its divisors is an integer number (30712605312865).

Almost surely, 2^{61425210625729} is an apocalyptic number.

It is an amenable number.

61425210625729 is a deficient number, since it is larger than the sum of its proper divisors (1).

61425210625729 is an equidigital number, since it uses as much as digits as its factorization.

61425210625729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 61425210625729 in words is "sixty-one trillion, four hundred twenty-five billion, two hundred ten million, six hundred twenty-five thousand, seven hundred twenty-nine".