2553101695601 has 2 divisors, whose sum is σ = 2553101695602. Its totient is φ = 2553101695600.

The previous prime is 2553101695597. The next prime is 2553101695637. The reversal of 2553101695601 is 1065961013552.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1317447135601 + 1235654560000 = 1147801^2 + 1111600^2 .

It is a cyclic number.

It is not a de Polignac number, because 2553101695601 - 2² = 2553101695597 is a prime.

It is not a weakly prime, because it can be changed into another prime (2553101695691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276550847800 + 1276550847801.

It is an arithmetic number, because the mean of its divisors is an integer number (1276550847801).

Almost surely, 2^{2553101695601} is an apocalyptic number.

It is an amenable number.

2553101695601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2553101695601 is an equidigital number, since it uses as much as digits as its factorization.

2553101695601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243000, while the sum is 44.

The spelling of 2553101695601 in words is "two trillion, five hundred fifty-three billion, one hundred one million, six hundred ninety-five thousand, six hundred one".