1005414401 has 2 divisors, whose sum is σ = 1005414402. Its totient is φ = 1005414400.

The previous prime is 1005414379. The next prime is 1005414419. The reversal of 1005414401 is 1044145001.

1005414401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 707506801 + 297907600 = 26599^2 + 17260^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005414401 - 2²² = 1001220097 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005414451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502707200 + 502707201.

It is an arithmetic number, because the mean of its divisors is an integer number (502707201).

Almost surely, 2^1005414401 is an apocalyptic number.

It is an amenable number.

1005414401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005414401 is an equidigital number, since it uses as much as digits as its factorization.

1005414401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1005414401 is about 31708.2702303358. The cubic root of 1005414401 is about 1001.8015527918.

Adding to 1005414401 its reverse (1044145001), we get a palindrome (2049559402).

The spelling of 1005414401 in words is "one billion, five million, four hundred fourteen thousand, four hundred one".