73563610657 has 2 divisors, whose sum is σ = 73563610658. Its totient is φ = 73563610656.

The previous prime is 73563610537. The next prime is 73563610663. The reversal of 73563610657 is 75601636537.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72814165281 + 749445376 = 269841^2 + 27376^2 .

It is a cyclic number.

It is not a de Polignac number, because 73563610657 - 2¹⁹ = 73563086369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73563610657.

It is not a weakly prime, because it can be changed into another prime (73563610667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36781805328 + 36781805329.

It is an arithmetic number, because the mean of its divisors is an integer number (36781805329).

Almost surely, 2^73563610657 is an apocalyptic number.

It is an amenable number.

73563610657 is a deficient number, since it is larger than the sum of its proper divisors (1).

73563610657 is an equidigital number, since it uses as much as digits as its factorization.

73563610657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2381400, while the sum is 49.

The spelling of 73563610657 in words is "seventy-three billion, five hundred sixty-three million, six hundred ten thousand, six hundred fifty-seven".