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513106451533 = 13241163774801
BaseRepresentation
bin1110111011101111000…
…01110001110001001101
31211001102021022102202101
413131313201301301031
531401320222422113
61031415015555101
752033153606324
oct7356741616115
91731367272671
10513106451533
11188675240525
128353a38ba91
13395025b1940
141ab97b7d0bb
15d5315b12dd
hex7777871c4d

513106451533 has 8 divisors (see below), whose sum is σ = 554869029176. Its totient is φ = 471671424000.

The previous prime is 513106451513. The next prime is 513106451537. The reversal of 513106451533 is 335154601315.

It can be written as a sum of positive squares in 4 ways, for example, as 3406123044 + 509700328489 = 58362^2 + 713933^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-513106451533 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513106451492 and 513106451501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513106451537) 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, 81884268 + ... + 81890533.

It is an arithmetic number, because the mean of its divisors is an integer number (69358628647).

Almost surely, 2513106451533 is an apocalyptic number.

It is an amenable number.

513106451533 is a deficient number, since it is larger than the sum of its proper divisors (41762577643).

513106451533 is a wasteful number, since it uses less digits than its factorization.

513106451533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163775055.

The product of its (nonzero) digits is 81000, while the sum is 37.

The spelling of 513106451533 in words is "five hundred thirteen billion, one hundred six million, four hundred fifty-one thousand, five hundred thirty-three".

Divisors: 1 13 241 3133 163774801 2129072413 39469727041 513106451533