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503553137131 = 1170191971059
BaseRepresentation
bin1110101001111100001…
…10110001100111101011
31210010202111001210002001
413110332012301213223
531222234100342011
61023155031151431
751244342020622
oct7247606614753
91703674053061
10503553137131
11184612688a70
1281712b15577
133863c300695
141a52d0946b9
15d172a397c1
hex753e1b19eb

503553137131 has 16 divisors (see below), whose sum is σ = 550720684800. Its totient is φ = 456618708000.

The previous prime is 503553137119. The next prime is 503553137159. The reversal of 503553137131 is 131731355305.

It is a cyclic number.

It is not a de Polignac number, because 503553137131 - 25 = 503553137099 is a prime.

It is a super-3 number, since 3×5035531371313 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (503553117131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7050880 + ... + 7121938.

It is an arithmetic number, because the mean of its divisors is an integer number (34420042800).

Almost surely, 2503553137131 is an apocalyptic number.

503553137131 is a deficient number, since it is larger than the sum of its proper divisors (47167547669).

503553137131 is a wasteful number, since it uses less digits than its factorization.

503553137131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72690.

The product of its (nonzero) digits is 70875, while the sum is 37.

The spelling of 503553137131 in words is "five hundred three billion, five hundred fifty-three million, one hundred thirty-seven thousand, one hundred thirty-one".

Divisors: 1 11 701 919 7711 10109 71059 644219 781649 7086409 49812359 65303221 547935949 718335431 45777557921 503553137131