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25440710401 is a prime number
BaseRepresentation
bin10111101100011000…
…100110111100000001
32102200000011222211101
4113230120212330001
5404100310213101
615404242414401
71560305320231
oct275430467401
972600158741
1025440710401
11a8756882a7
124b20061401
13252592cac2
141334b07cc1
159dd728401
hex5ec626f01

25440710401 has 2 divisors, whose sum is σ = 25440710402. Its totient is φ = 25440710400.

The previous prime is 25440710377. The next prime is 25440710413. The reversal of 25440710401 is 10401704452.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23782266225 + 1658444176 = 154215^2 + 40724^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-25440710401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 25440710401.

It is not a weakly prime, because it can be changed into another prime (25440710441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12720355200 + 12720355201.

It is an arithmetic number, because the mean of its divisors is an integer number (12720355201).

Almost surely, 225440710401 is an apocalyptic number.

It is an amenable number.

25440710401 is a deficient number, since it is larger than the sum of its proper divisors (1).

25440710401 is an equidigital number, since it uses as much as digits as its factorization.

25440710401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4480, while the sum is 28.

The spelling of 25440710401 in words is "twenty-five billion, four hundred forty million, seven hundred ten thousand, four hundred one".