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517121007 = 31313259513
BaseRepresentation
bin11110110100101…
…010001111101111
31100001001110122220
4132310222033233
52024340333012
6123151410423
715546312264
oct3664521757
91301043586
10517121007
112459a0737
12125223a13
138319ac80
144c97126b
15305eb08c
hex1ed2a3ef

517121007 has 8 divisors (see below), whose sum is σ = 742532784. Its totient is φ = 318228288.

The previous prime is 517120999. The next prime is 517121021. The reversal of 517121007 is 700121715.

It is a happy number.

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

It is not a de Polignac number, because 517121007 - 23 = 517120999 is a prime.

It is a super-3 number, since 3×5171210073 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517121057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6629718 + ... + 6629795.

It is an arithmetic number, because the mean of its divisors is an integer number (92816598).

Almost surely, 2517121007 is an apocalyptic number.

517121007 is a deficient number, since it is larger than the sum of its proper divisors (225411777).

517121007 is a wasteful number, since it uses less digits than its factorization.

517121007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13259529.

The product of its (nonzero) digits is 490, while the sum is 24.

The square root of 517121007 is about 22740.2947870075. The cubic root of 517121007 is about 802.6583478449.

The spelling of 517121007 in words is "five hundred seventeen million, one hundred twenty-one thousand, seven".

Divisors: 1 3 13 39 13259513 39778539 172373669 517121007