10590540001 has 2 divisors, whose sum is σ = 10590540002. Its totient is φ = 10590540000.

The previous prime is 10590539917. The next prime is 10590540041. The reversal of 10590540001 is 10004509501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8490701025 + 2099838976 = 92145^2 + 45824^2 .

It is a cyclic number.

It is not a de Polignac number, because 10590540001 - 2⁷ = 10590539873 is a prime.

It is a super-2 number, since 2×10590540001² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10590540041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5295270000 + 5295270001.

It is an arithmetic number, because the mean of its divisors is an integer number (5295270001).

Almost surely, 2^10590540001 is an apocalyptic number.

It is an amenable number.

10590540001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10590540001 is an equidigital number, since it uses as much as digits as its factorization.

10590540001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 10590540001 in words is "ten billion, five hundred ninety million, five hundred forty thousand, one".