26531311313562 has 128 divisors (see below), whose sum is σ = 61469153095680. Its totient is φ = 7544957429760.

The previous prime is 26531311313561. The next prime is 26531311313599.

26531311313562 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (26531311313561) 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 63 ways as a sum of consecutive naturals, for example, 1122911593 + ... + 1122935219.

It is an arithmetic number, because the mean of its divisors is an integer number (480227758560).

Almost surely, 2^{26531311313562} is an apocalyptic number.

26531311313562 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26531311313562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30734576547840).

26531311313562 is an abundant number, since it is smaller than the sum of its proper divisors (34937841782118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26531311313562 is a wasteful number, since it uses less digits than its factorization.

26531311313562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26516.

The product of its digits is 291600, while the sum is 42.

It can be divided in two parts, 2653131 and 1313562, that added together give a palindrome (3966693).

The spelling of 26531311313562 in words is "twenty-six trillion, five hundred thirty-one billion, three hundred eleven million, three hundred thirteen thousand, five hundred sixty-two".