16563137400137 has 2 divisors, whose sum is σ = 16563137400138. Its totient is φ = 16563137400136.

The previous prime is 16563137400127. The next prime is 16563137400143. The reversal of 16563137400137 is 73100473136561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15979294702921 + 583842697216 = 3997411^2 + 764096^2 .

It is a cyclic number.

It is not a de Polignac number, because 16563137400137 - 2¹⁸ = 16563137137993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16563137400091 and 16563137400100.

It is not a weakly prime, because it can be changed into another prime (16563137400127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8281568700068 + 8281568700069.

It is an arithmetic number, because the mean of its divisors is an integer number (8281568700069).

Almost surely, 2^{16563137400137} is an apocalyptic number.

It is an amenable number.

16563137400137 is a deficient number, since it is larger than the sum of its proper divisors (1).

16563137400137 is an equidigital number, since it uses as much as digits as its factorization.

16563137400137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 952560, while the sum is 47.

The spelling of 16563137400137 in words is "sixteen trillion, five hundred sixty-three billion, one hundred thirty-seven million, four hundred thousand, one hundred thirty-seven".