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505953967 is a prime number
BaseRepresentation
bin11110001010000…
…011111010101111
31022021001010100211
4132022003322233
52014011011332
6122112203251
715352352311
oct3612037257
91267033324
10505953967
1123a663782
12121539527
1380a8b15c
144b2a57b1
152e642447
hex1e283eaf

505953967 has 2 divisors, whose sum is σ = 505953968. Its totient is φ = 505953966.

The previous prime is 505953941. The next prime is 505953979. The reversal of 505953967 is 769359505.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-505953967 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505953967.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505953937) 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, 252976983 + 252976984.

It is an arithmetic number, because the mean of its divisors is an integer number (252976984).

Almost surely, 2505953967 is an apocalyptic number.

505953967 is a deficient number, since it is larger than the sum of its proper divisors (1).

505953967 is an equidigital number, since it uses as much as digits as its factorization.

505953967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1275750, while the sum is 49.

The square root of 505953967 is about 22493.4205269007. The cubic root of 505953967 is about 796.8385474588.

The spelling of 505953967 in words is "five hundred five million, nine hundred fifty-three thousand, nine hundred sixty-seven".