653405205122129 has 2 divisors, whose sum is σ = 653405205122130. Its totient is φ = 653405205122128.

The previous prime is 653405205122119. The next prime is 653405205122143. The reversal of 653405205122129 is 921221502504356.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 646035326700625 + 7369878421504 = 25417225^2 + 2714752^2 .

It is a cyclic number.

It is not a de Polignac number, because 653405205122129 - 2²⁸ = 653404936686673 is a prime.

It is not a weakly prime, because it can be changed into another prime (653405205122119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 326702602561064 + 326702602561065.

It is an arithmetic number, because the mean of its divisors is an integer number (326702602561065).

Almost surely, 2^{653405205122129} is an apocalyptic number.

It is an amenable number.

653405205122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

653405205122129 is an equidigital number, since it uses as much as digits as its factorization.

653405205122129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296000, while the sum is 47.

The spelling of 653405205122129 in words is "six hundred fifty-three trillion, four hundred five billion, two hundred five million, one hundred twenty-two thousand, one hundred twenty-nine".