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978736585313 is a prime number
BaseRepresentation
bin11100011111000010011…
…11110001101001100001
310110120021211120001002202
432033201033301221201
5112013423031212223
62025343025422545
7130466001465254
oct16174117615141
93416254501082
10978736585313
11348097317803
12139828a9aa55
13713a9c25466
143552a44509b
151a6d4b35428
hexe3e13f1a61

978736585313 has 2 divisors, whose sum is σ = 978736585314. Its totient is φ = 978736585312.

The previous prime is 978736585301. The next prime is 978736585339. The reversal of 978736585313 is 313585637879.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 768415287649 + 210321297664 = 876593^2 + 458608^2 .

It is a cyclic number.

It is not a de Polignac number, because 978736585313 - 210 = 978736584289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 978736585313.

It is not a weakly prime, because it can be changed into another prime (978736585213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 489368292656 + 489368292657.

It is an arithmetic number, because the mean of its divisors is an integer number (489368292657).

Almost surely, 2978736585313 is an apocalyptic number.

It is an amenable number.

978736585313 is a deficient number, since it is larger than the sum of its proper divisors (1).

978736585313 is an equidigital number, since it uses as much as digits as its factorization.

978736585313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 114307200, while the sum is 65.

The spelling of 978736585313 in words is "nine hundred seventy-eight billion, seven hundred thirty-six million, five hundred eighty-five thousand, three hundred thirteen".