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505213012131 = 343591015711151
BaseRepresentation
bin1110101101000010000…
…10101100100010100011
31210022001011102011111220
413112201002230202203
531234134012342011
61024031444110123
751333435514422
oct7264102544243
91708034364456
10505213012131
11185294635693
1281ab6995343
133884516b539
141a6496d32b9
15d21d614506
hex75a10ac8a3

505213012131 has 64 divisors (see below), whose sum is σ = 709761761280. Its totient is φ = 319359600000.

The previous prime is 505213012123. The next prime is 505213012169. The reversal of 505213012131 is 131210312505.

It is not a de Polignac number, because 505213012131 - 23 = 505213012123 is a prime.

It is a super-2 number, since 2×5052130121312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505213012111) 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 in 63 ways as a sum of consecutive naturals, for example, 438933406 + ... + 438934556.

It is an arithmetic number, because the mean of its divisors is an integer number (11090027520).

Almost surely, 2505213012131 is an apocalyptic number.

505213012131 is a deficient number, since it is larger than the sum of its proper divisors (204548749149).

505213012131 is a wasteful number, since it uses less digits than its factorization.

505213012131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928.

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 505213012131 its reverse (131210312505), we get a palindrome (636423324636).

The spelling of 505213012131 in words is "five hundred five billion, two hundred thirteen million, twelve thousand, one hundred thirty-one".

Divisors: 1 3 43 59 101 129 177 303 571 1151 1713 2537 3453 4343 5959 7611 13029 17877 24553 33689 49493 57671 67909 73659 101067 116251 148479 173013 203727 256237 348753 657221 768711 1448627 1971663 2479853 2920087 3402589 4345881 4998793 6858809 7439559 8760261 10207767 14996379 20576427 28260503 38776039 66379321 84781509 116328117 146311327 199137963 294928787 438933981 884786361 1667369677 2854310803 3916379939 5002109031 8562932409 11749139817 168404337377 505213012131