201258742417 has 2 divisors, whose sum is σ = 201258742418. Its totient is φ = 201258742416.

The previous prime is 201258742411. The next prime is 201258742457. The reversal of 201258742417 is 714247852102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 186966300816 + 14292441601 = 432396^2 + 119551^2 .

It is a cyclic number.

It is not a de Polignac number, because 201258742417 - 2¹⁹ = 201258218129 is a prime.

It is not a weakly prime, because it can be changed into another prime (201258742411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100629371208 + 100629371209.

It is an arithmetic number, because the mean of its divisors is an integer number (100629371209).

Almost surely, 2^201258742417 is an apocalyptic number.

It is an amenable number.

201258742417 is a deficient number, since it is larger than the sum of its proper divisors (1).

201258742417 is an equidigital number, since it uses as much as digits as its factorization.

201258742417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 250880, while the sum is 43.

The spelling of 201258742417 in words is "two hundred one billion, two hundred fifty-eight million, seven hundred forty-two thousand, four hundred seventeen".