61653577535609 has 2 divisors, whose sum is σ = 61653577535610. Its totient is φ = 61653577535608.

The previous prime is 61653577535567. The next prime is 61653577535617. The reversal of 61653577535609 is 90653577535616.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58973798713600 + 2679778822009 = 7679440^2 + 1637003^2 .

It is a cyclic number.

It is not a de Polignac number, because 61653577535609 - 2²⁸ = 61653309100153 is a prime.

It is not a weakly prime, because it can be changed into another prime (61653577535699) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30826788767804 + 30826788767805.

It is an arithmetic number, because the mean of its divisors is an integer number (30826788767805).

Almost surely, 2^{61653577535609} is an apocalyptic number.

It is an amenable number.

61653577535609 is a deficient number, since it is larger than the sum of its proper divisors (1).

61653577535609 is an equidigital number, since it uses as much as digits as its factorization.

61653577535609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 535815000, while the sum is 68.

The spelling of 61653577535609 in words is "sixty-one trillion, six hundred fifty-three billion, five hundred seventy-seven million, five hundred thirty-five thousand, six hundred nine".