2652756551657 has 2 divisors, whose sum is σ = 2652756551658. Its totient is φ = 2652756551656.

The previous prime is 2652756551591. The next prime is 2652756551741. The reversal of 2652756551657 is 7561556572562.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2467378082521 + 185378469136 = 1570789^2 + 430556^2 .

It is a cyclic number.

It is not a de Polignac number, because 2652756551657 - 2²⁰ = 2652755503081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2652756551657.

It is not a weakly prime, because it can be changed into another prime (2652756550657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1326378275828 + 1326378275829.

It is an arithmetic number, because the mean of its divisors is an integer number (1326378275829).

Almost surely, 2^{2652756551657} is an apocalyptic number.

It is an amenable number.

2652756551657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2652756551657 is an equidigital number, since it uses as much as digits as its factorization.

2652756551657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 132300000, while the sum is 62.

The spelling of 2652756551657 in words is "two trillion, six hundred fifty-two billion, seven hundred fifty-six million, five hundred fifty-one thousand, six hundred fifty-seven".