1005132001 has 2 divisors, whose sum is σ = 1005132002. Its totient is φ = 1005132000.

The previous prime is 1005131983. The next prime is 1005132013. The reversal of 1005132001 is 1002315001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 654131776 + 351000225 = 25576^2 + 18735^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005132001 - 2⁹ = 1005131489 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005132031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502566000 + 502566001.

It is an arithmetic number, because the mean of its divisors is an integer number (502566001).

Almost surely, 2^1005132001 is an apocalyptic number.

It is an amenable number.

1005132001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005132001 is an equidigital number, since it uses as much as digits as its factorization.

1005132001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1005132001 is about 31703.8168206921. The cubic root of 1005132001 is about 1001.7077489334.

Adding to 1005132001 its reverse (1002315001), we get a palindrome (2007447002).

The spelling of 1005132001 in words is "one billion, five million, one hundred thirty-two thousand, one".