1040137001 has 2 divisors, whose sum is σ = 1040137002. Its totient is φ = 1040137000.

The previous prime is 1040136971. The next prime is 1040137003. The reversal of 1040137001 is 1007310401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1040127001 + 10000 = 32251^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 1040137001 - 2²² = 1035942697 is a prime.

Together with 1040137003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1040137003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 520068500 + 520068501.

It is an arithmetic number, because the mean of its divisors is an integer number (520068501).

Almost surely, 2^1040137001 is an apocalyptic number.

It is an amenable number.

1040137001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1040137001 is an equidigital number, since it uses as much as digits as its factorization.

1040137001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 1040137001 is about 32251.1550335798. The cubic root of 1040137001 is about 1013.2038902807.

Adding to 1040137001 its reverse (1007310401), we get a palindrome (2047447402).

The spelling of 1040137001 in words is "one billion, forty million, one hundred thirty-seven thousand, one".