491952761 has 2 divisors, whose sum is σ = 491952762. Its totient is φ = 491952760.

The previous prime is 491952737. The next prime is 491952763. The reversal of 491952761 is 167259194.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 491952400 + 361 = 22180^2 + 19^2 .

It is a cyclic number.

It is not a de Polignac number, because 491952761 - 2¹⁴ = 491936377 is a prime.

Together with 491952763, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_25953839 and since 491952761 and 25953839 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (491952763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 245976380 + 245976381.

It is an arithmetic number, because the mean of its divisors is an integer number (245976381).

Almost surely, 2^491952761 is an apocalyptic number.

It is an amenable number.

491952761 is a deficient number, since it is larger than the sum of its proper divisors (1).

491952761 is an equidigital number, since it uses as much as digits as its factorization.

491952761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 136080, while the sum is 44.

The square root of 491952761 is about 22180.0081379606. The cubic root of 491952761 is about 789.4194105145.

The spelling of 491952761 in words is "four hundred ninety-one million, nine hundred fifty-two thousand, seven hundred sixty-one".