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378518900257 is a prime number
BaseRepresentation
bin1011000001000010111…
…11000000111000100001
31100012000122002102212001
411200201133000320201
522200201314302012
6445520021404001
736230023365031
oct5404137007041
91305018072761
10378518900257
11136590062203
1261439269601
132990415b134
141446b2d78c1
159ca5b18357
hex58217c0e21

378518900257 has 2 divisors, whose sum is σ = 378518900258. Its totient is φ = 378518900256.

The previous prime is 378518900197. The next prime is 378518900261. The reversal of 378518900257 is 752009815873.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 361629038736 + 16889861521 = 601356^2 + 129961^2 .

It is a cyclic number.

It is not a de Polignac number, because 378518900257 - 27 = 378518900129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 378518900198 and 378518900207.

It is not a weakly prime, because it can be changed into another prime (378518900267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 189259450128 + 189259450129.

It is an arithmetic number, because the mean of its divisors is an integer number (189259450129).

Almost surely, 2378518900257 is an apocalyptic number.

It is an amenable number.

378518900257 is a deficient number, since it is larger than the sum of its proper divisors (1).

378518900257 is an equidigital number, since it uses as much as digits as its factorization.

378518900257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4233600, while the sum is 55.

The spelling of 378518900257 in words is "three hundred seventy-eight billion, five hundred eighteen million, nine hundred thousand, two hundred fifty-seven".