2001817117337 has 2 divisors, whose sum is σ = 2001817117338. Its totient is φ = 2001817117336.

The previous prime is 2001817117283. The next prime is 2001817117357. The reversal of 2001817117337 is 7337117181002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1312259600521 + 689557516816 = 1145539^2 + 830396^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001817117337 - 2⁸ = 2001817117081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001817117294 and 2001817117303.

It is not a weakly prime, because it can be changed into another prime (2001817117357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000908558668 + 1000908558669.

It is an arithmetic number, because the mean of its divisors is an integer number (1000908558669).

Almost surely, 2^{2001817117337} is an apocalyptic number.

It is an amenable number.

2001817117337 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001817117337 is an equidigital number, since it uses as much as digits as its factorization.

2001817117337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49392, while the sum is 41.

The spelling of 2001817117337 in words is "two trillion, one billion, eight hundred seventeen million, one hundred seventeen thousand, three hundred thirty-seven".