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513215564129 is a prime number
BaseRepresentation
bin1110111011111100000…
…10000000100101100001
31211001200212121221002122
413131332002000211201
531402031141023004
61031433514354025
752035650214002
oct7357602004541
91731625557078
10513215564129
11188720896424
128356aa2b915
133951c0960c8
141aba84631a9
15d53ae65cbe
hex777e080961

513215564129 has 2 divisors, whose sum is σ = 513215564130. Its totient is φ = 513215564128.

The previous prime is 513215564011. The next prime is 513215564153. The reversal of 513215564129 is 921465512315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 511585423504 + 1630140625 = 715252^2 + 40375^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-513215564129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513215564129.

It is not a weakly prime, because it can be changed into another prime (513215564159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256607782064 + 256607782065.

It is an arithmetic number, because the mean of its divisors is an integer number (256607782065).

Almost surely, 2513215564129 is an apocalyptic number.

It is an amenable number.

513215564129 is a deficient number, since it is larger than the sum of its proper divisors (1).

513215564129 is an equidigital number, since it uses as much as digits as its factorization.

513215564129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324000, while the sum is 44.

The spelling of 513215564129 in words is "five hundred thirteen billion, two hundred fifteen million, five hundred sixty-four thousand, one hundred twenty-nine".