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504409681 is a prime number
BaseRepresentation
bin11110000100001…
…010111001010001
31022011010200000001
4132010022321101
52013112102211
6122015130001
715333261106
oct3604127121
91264120001
10504409681
112397a9506
12120b13901
138066a289
144adc2aad
152e439ac1
hex1e10ae51

504409681 has 2 divisors, whose sum is σ = 504409682. Its totient is φ = 504409680.

The previous prime is 504409657. The next prime is 504409691. The reversal of 504409681 is 186904405.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 319694400 + 184715281 = 17880^2 + 13591^2 .

It is a cyclic number.

It is not a de Polignac number, because 504409681 - 217 = 504278609 is a prime.

It is a super-2 number, since 2×5044096812 = 508858252573043522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 504409681.

It is not a weakly prime, because it can be changed into another prime (504409691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252204840 + 252204841.

It is an arithmetic number, because the mean of its divisors is an integer number (252204841).

Almost surely, 2504409681 is an apocalyptic number.

It is an amenable number.

504409681 is a deficient number, since it is larger than the sum of its proper divisors (1).

504409681 is an equidigital number, since it uses as much as digits as its factorization.

504409681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 504409681 is about 22459.0667882706. The cubic root of 504409681 is about 796.0270107119.

The spelling of 504409681 in words is "five hundred four million, four hundred nine thousand, six hundred eighty-one".