61477376306309 has 2 divisors, whose sum is σ = 61477376306310. Its totient is φ = 61477376306308.

The previous prime is 61477376306251. The next prime is 61477376306341. The reversal of 61477376306309 is 90360367377416.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33674460820900 + 27802915485409 = 5802970^2 + 5272847^2 .

It is a cyclic number.

It is not a de Polignac number, because 61477376306309 - 2³⁶ = 61408656829573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61477376306369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30738688153154 + 30738688153155.

It is an arithmetic number, because the mean of its divisors is an integer number (30738688153155).

Almost surely, 2^{61477376306309} is an apocalyptic number.

It is an amenable number.

61477376306309 is a deficient number, since it is larger than the sum of its proper divisors (1).

61477376306309 is an equidigital number, since it uses as much as digits as its factorization.

61477376306309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72013536, while the sum is 62.

The spelling of 61477376306309 in words is "sixty-one trillion, four hundred seventy-seven billion, three hundred seventy-six million, three hundred six thousand, three hundred nine".