1007412001 has 2 divisors, whose sum is σ = 1007412002. Its totient is φ = 1007412000.

The previous prime is 1007411957. The next prime is 1007412013. The reversal of 1007412001 is 1002147001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 519885601 + 487526400 = 22801^2 + 22080^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007412001 - 2¹³ = 1007403809 is a prime.

It is not a weakly prime, because it can be changed into another prime (1007452001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503706000 + 503706001.

It is an arithmetic number, because the mean of its divisors is an integer number (503706001).

Almost surely, 2^1007412001 is an apocalyptic number.

It is an amenable number.

1007412001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007412001 is an equidigital number, since it uses as much as digits as its factorization.

1007412001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 1007412001 is about 31739.7542681099. The cubic root of 1007412001 is about 1002.4645878168.

Adding to 1007412001 its reverse (1002147001), we get a palindrome (2009559002).

The spelling of 1007412001 in words is "one billion, seven million, four hundred twelve thousand, one".