2742523771601 has 2 divisors, whose sum is σ = 2742523771602. Its totient is φ = 2742523771600.

The previous prime is 2742523771549. The next prime is 2742523771621. The reversal of 2742523771601 is 1061773252472.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2547212808001 + 195310963600 = 1595999^2 + 441940^2 .

It is a cyclic number.

It is not a de Polignac number, because 2742523771601 - 2¹⁴ = 2742523755217 is a prime.

It is not a weakly prime, because it can be changed into another prime (2742523771621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1371261885800 + 1371261885801.

It is an arithmetic number, because the mean of its divisors is an integer number (1371261885801).

Almost surely, 2^{2742523771601} is an apocalyptic number.

It is an amenable number.

2742523771601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2742523771601 is an equidigital number, since it uses as much as digits as its factorization.

2742523771601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 987840, while the sum is 47.

The spelling of 2742523771601 in words is "two trillion, seven hundred forty-two billion, five hundred twenty-three million, seven hundred seventy-one thousand, six hundred one".