417432165140513 has 2 divisors, whose sum is σ = 417432165140514. Its totient is φ = 417432165140512.

The previous prime is 417432165140489. The next prime is 417432165140519. The reversal of 417432165140513 is 315041561234714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 393647543345809 + 23784621794704 = 19840553^2 + 4876948^2 .

It is a cyclic number.

It is not a de Polignac number, because 417432165140513 - 2²⁶ = 417432098031649 is a prime.

It is a super-2 number, since 2×417432165140513² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (417432165140519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208716082570256 + 208716082570257.

It is an arithmetic number, because the mean of its divisors is an integer number (208716082570257).

Almost surely, 2^{417432165140513} is an apocalyptic number.

It is an amenable number.

417432165140513 is a deficient number, since it is larger than the sum of its proper divisors (1).

417432165140513 is an equidigital number, since it uses as much as digits as its factorization.

417432165140513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 417432165140513 in words is "four hundred seventeen trillion, four hundred thirty-two billion, one hundred sixty-five million, one hundred forty thousand, five hundred thirteen".