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505252780441 is a prime number
BaseRepresentation
bin1110101101000110110…
…10011001100110011001
31210022010221020121101021
413112203122121212121
531234224202433231
61024035424322441
751334430526133
oct7264332314631
91708127217337
10505252780441
11185305028162
1281b08173421
1338850483796
141a650ac6053
15d221d6c811
hex75a3699999

505252780441 has 2 divisors, whose sum is σ = 505252780442. Its totient is φ = 505252780440.

The previous prime is 505252780429. The next prime is 505252780469. The reversal of 505252780441 is 144087252505.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 504043201600 + 1209578841 = 709960^2 + 34779^2 .

It is a cyclic number.

It is not a de Polignac number, because 505252780441 - 219 = 505252256153 is a prime.

It is a super-2 number, since 2×5052527804412 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (505252780411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252626390220 + 252626390221.

It is an arithmetic number, because the mean of its divisors is an integer number (252626390221).

Almost surely, 2505252780441 is an apocalyptic number.

It is an amenable number.

505252780441 is a deficient number, since it is larger than the sum of its proper divisors (1).

505252780441 is an equidigital number, since it uses as much as digits as its factorization.

505252780441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448000, while the sum is 43.

The spelling of 505252780441 in words is "five hundred five billion, two hundred fifty-two million, seven hundred eighty thousand, four hundred forty-one".