1006412401 has 2 divisors, whose sum is σ = 1006412402. Its totient is φ = 1006412400.

The previous prime is 1006412371. The next prime is 1006412411. The reversal of 1006412401 is 1042146001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1006412176 + 225 = 31724^2 + 15^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006412401 - 2¹³ = 1006404209 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006412411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503206200 + 503206201.

It is an arithmetic number, because the mean of its divisors is an integer number (503206201).

Almost surely, 2^1006412401 is an apocalyptic number.

It is an amenable number.

1006412401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006412401 is an equidigital number, since it uses as much as digits as its factorization.

1006412401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1006412401 is about 31724.0035462109. The cubic root of 1006412401 is about 1002.1329144415.

Adding to 1006412401 its reverse (1042146001), we get a palindrome (2048558402).

The spelling of 1006412401 in words is "one billion, six million, four hundred twelve thousand, four hundred one".