1004133401 has 2 divisors, whose sum is σ = 1004133402. Its totient is φ = 1004133400.

The previous prime is 1004133391. The next prime is 1004133409. The reversal of 1004133401 is 1043314001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 513067801 + 491065600 = 22651^2 + 22160^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004133401 - 2¹⁸ = 1003871257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1004133401.

It is not a weakly prime, because it can be changed into another prime (1004133409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502066700 + 502066701.

It is an arithmetic number, because the mean of its divisors is an integer number (502066701).

Almost surely, 2^1004133401 is an apocalyptic number.

It is an amenable number.

1004133401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004133401 is an equidigital number, since it uses as much as digits as its factorization.

1004133401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1004133401 is about 31688.0640147043. The cubic root of 1004133401 is about 1001.3759063468.

Adding to 1004133401 its reverse (1043314001), we get a palindrome (2047447402).

The spelling of 1004133401 in words is "one billion, four million, one hundred thirty-three thousand, four hundred one".