2005501421537 has 2 divisors, whose sum is σ = 2005501421538. Its totient is φ = 2005501421536.

The previous prime is 2005501421527. The next prime is 2005501421591. The reversal of 2005501421537 is 7351241055002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1956750547921 + 48750873616 = 1398839^2 + 220796^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005501421537 - 2¹⁴ = 2005501405153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005501421497 and 2005501421506.

It is not a weakly prime, because it can be changed into another prime (2005501421527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002750710768 + 1002750710769.

It is an arithmetic number, because the mean of its divisors is an integer number (1002750710769).

Almost surely, 2^{2005501421537} is an apocalyptic number.

It is an amenable number.

2005501421537 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005501421537 is an equidigital number, since it uses as much as digits as its factorization.

2005501421537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42000, while the sum is 35.

Adding to 2005501421537 its reverse (7351241055002), we get a palindrome (9356742476539).

The spelling of 2005501421537 in words is "two trillion, five billion, five hundred one million, four hundred twenty-one thousand, five hundred thirty-seven".