Search a number
-
+
502366135264661 is a prime number
BaseRepresentation
bin111001000111001100011101…
…1000010100010010110010101
32102212201201210201112001210102
41302032120323002202112111
51011321231321111432121
64540235452212103445
7210546520102030103
oct16216307302422625
92385651721461712
10502366135264661
11136084310776078
1248415b0a304b85
1318740c005bc755
148c0a917680c73
153d12a6924390b
hex1c8e63b0a2595

502366135264661 has 2 divisors, whose sum is σ = 502366135264662. Its totient is φ = 502366135264660.

The previous prime is 502366135264613. The next prime is 502366135264691. The reversal of 502366135264661 is 166462531663205.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 385236793502500 + 117129341762161 = 19627450^2 + 10822631^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-502366135264661 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 502366135264597 and 502366135264606.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (502366135264691) 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 as a sum of consecutive naturals, namely, 251183067632330 + 251183067632331.

It is an arithmetic number, because the mean of its divisors is an integer number (251183067632331).

Almost surely, 2502366135264661 is an apocalyptic number.

It is an amenable number.

502366135264661 is a deficient number, since it is larger than the sum of its proper divisors (1).

502366135264661 is an equidigital number, since it uses as much as digits as its factorization.

502366135264661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27993600, while the sum is 56.

The spelling of 502366135264661 in words is "five hundred two trillion, three hundred sixty-six billion, one hundred thirty-five million, two hundred sixty-four thousand, six hundred sixty-one".