416077528513 has 2 divisors, whose sum is σ = 416077528514. Its totient is φ = 416077528512.

The previous prime is 416077528511. The next prime is 416077528541. The reversal of 416077528513 is 315825770614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 244004385024 + 172073143489 = 493968^2 + 414817^2 .

It is a cyclic number.

It is not a de Polignac number, because 416077528513 - 2¹ = 416077528511 is a prime.

Together with 416077528511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (416077528511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208038764256 + 208038764257.

It is an arithmetic number, because the mean of its divisors is an integer number (208038764257).

Almost surely, 2^416077528513 is an apocalyptic number.

It is an amenable number.

416077528513 is a deficient number, since it is larger than the sum of its proper divisors (1).

416077528513 is an equidigital number, since it uses as much as digits as its factorization.

416077528513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1411200, while the sum is 49.

The spelling of 416077528513 in words is "four hundred sixteen billion, seventy-seven million, five hundred twenty-eight thousand, five hundred thirteen".