2742523761553 has 2 divisors, whose sum is σ = 2742523761554. Its totient is φ = 2742523761552.

The previous prime is 2742523761541. The next prime is 2742523761559. The reversal of 2742523761553 is 3551673252472.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2567660121664 + 174863639889 = 1602392^2 + 418167^2 .

It is a cyclic number.

It is not a de Polignac number, because 2742523761553 - 2²¹ = 2742521664401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2742523761553.

It is not a weakly prime, because it can be changed into another prime (2742523761559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1371261880776 + 1371261880777.

It is an arithmetic number, because the mean of its divisors is an integer number (1371261880777).

Almost surely, 2^{2742523761553} is an apocalyptic number.

It is an amenable number.

2742523761553 is a deficient number, since it is larger than the sum of its proper divisors (1).

2742523761553 is an equidigital number, since it uses as much as digits as its factorization.

2742523761553 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10584000, while the sum is 52.

The spelling of 2742523761553 in words is "two trillion, seven hundred forty-two billion, five hundred twenty-three million, seven hundred sixty-one thousand, five hundred fifty-three".