2531540451352 has 48 divisors (see below), whose sum is σ = 5251931823600. Its totient is φ = 1143079608000.

The previous prime is 2531540451311. The next prime is 2531540451373.

2531540451352 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8513527 + ... + 8805862.

It is an arithmetic number, because the mean of its divisors is an integer number (109415246325).

Almost surely, 2^{2531540451352} is an apocalyptic number.

2531540451352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2531540451352 is an abundant number, since it is smaller than the sum of its proper divisors (2720391372248).

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

2531540451352 is a wasteful number, since it uses less digits than its factorization.

2531540451352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17319568 (or 17319553 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

It can be divided in two parts, 2531540 and 451352, that added together give a palindrome (2982892).

The spelling of 2531540451352 in words is "two trillion, five hundred thirty-one billion, five hundred forty million, four hundred fifty-one thousand, three hundred fifty-two".