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517253741515661 = 1319203429045077
BaseRepresentation
bin111010110011100001000010…
…1100001011001001110001101
32111211102222022121012102100112
41311213002011201121032031
51020244141130312000121
65032035031033405405
7213644230624146203
oct16547020541311615
92454388277172315
10517253741515661
1113a8a4097343487
124a01b2a7569865
1319280a844049b7
1491a330109d073
153ebee5457175b
hex1d6708585938d

517253741515661 has 8 divisors (see below), whose sum is σ = 521258878524384. Its totient is φ = 513249462615760.

The previous prime is 517253741515633. The next prime is 517253741515703. The reversal of 517253741515661 is 166515147352715.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 517253741515661 - 214 = 517253741499277 is a prime.

It is a super-2 number, since 2×5172537415156612 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 517253741515661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517253741515261) 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 7 ways as a sum of consecutive naturals, for example, 213316946 + ... + 215728131.

It is an arithmetic number, because the mean of its divisors is an integer number (65157359815548).

Almost surely, 2517253741515661 is an apocalyptic number.

It is an amenable number.

517253741515661 is a deficient number, since it is larger than the sum of its proper divisors (4005137008723).

517253741515661 is a wasteful number, since it uses less digits than its factorization.

517253741515661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429054411.

The product of its digits is 26460000, while the sum is 59.

The spelling of 517253741515661 in words is "five hundred seventeen trillion, two hundred fifty-three billion, seven hundred forty-one million, five hundred fifteen thousand, six hundred sixty-one".

Divisors: 1 131 9203 1205593 429045077 56204905087 3948501843631 517253741515661