26001240001 has 27 divisors (see below), whose sum is σ = 29061590467. Its totient is φ = 23245655840.

The previous prime is 26001239989. The next prime is 26001240011. The reversal of 26001240001 is 10004210062.

The square root of 26001240001 is 161249.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15273252225 + 10727987776 = 123585^2 + 103576^2 .

It is not a de Polignac number, because 26001240001 - 2¹¹ = 26001237953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26001240011) 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 in 26 ways as a sum of consecutive naturals, for example, 189790005 + ... + 189790141.

Almost surely, 2^26001240001 is an apocalyptic number.

26001240001 is the 161249-th square number.

26001240001 is the 80625-th centered octagonal number.

It is an amenable number.

26001240001 is a deficient number, since it is larger than the sum of its proper divisors (3060350466).

26001240001 is an equidigital number, since it uses as much as digits as its factorization.

26001240001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Multiplying 26001240001 by its sum of digits (16), we get a square (416019840016 = 644996²).

Adding to 26001240001 its reverse (10004210062), we get a palindrome (36005450063).

The spelling of 26001240001 in words is "twenty-six billion, one million, two hundred forty thousand, one".