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5268978401 is a prime number
BaseRepresentation
bin1001110100000111…
…00011101011100001
3111121012111211120012
410322003203223201
541242324302101
62230500254305
7244366402031
oct47203435341
914535454505
105268978401
112264223505
1210306a1395
1365c7b76cb
1437dabb8c1
1520c888bbb
hex13a0e3ae1

5268978401 has 2 divisors, whose sum is σ = 5268978402. Its totient is φ = 5268978400.

The previous prime is 5268978329. The next prime is 5268978431. The reversal of 5268978401 is 1048798625.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3052452001 + 2216526400 = 55249^2 + 47080^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-5268978401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5268978401.

It is not a weakly prime, because it can be changed into another prime (5268978431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2634489200 + 2634489201.

It is an arithmetic number, because the mean of its divisors is an integer number (2634489201).

Almost surely, 25268978401 is an apocalyptic number.

It is an amenable number.

5268978401 is a deficient number, since it is larger than the sum of its proper divisors (1).

5268978401 is an equidigital number, since it uses as much as digits as its factorization.

5268978401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 967680, while the sum is 50.

The square root of 5268978401 is about 72587.7289974001. The cubic root of 5268978401 is about 1740.1050714945.

The spelling of 5268978401 in words is "five billion, two hundred sixty-eight million, nine hundred seventy-eight thousand, four hundred one".