551540312253342 has 128 divisors (see below), whose sum is σ = 1325076827980800. Its totient is φ = 169456269283200.

The previous prime is 551540312253341. The next prime is 551540312253373. The reversal of 551540312253342 is 243352213045155.

551540312253342 is a `hidden beast` number, since 5 + 5 + 1 + 5 + 40 + 3 + 12 + 253 + 342 = 666.

It is a super-3 number, since 3×551540312253342³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551540312253341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 952974492 + ... + 953553072.

It is an arithmetic number, because the mean of its divisors is an integer number (10352162718600).

Almost surely, 2^{551540312253342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 551540312253342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662538413990400).

551540312253342 is an abundant number, since it is smaller than the sum of its proper divisors (773536515727458).

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

551540312253342 is a wasteful number, since it uses less digits than its factorization.

551540312253342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603759 (or 603753 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 551540312253342 its reverse (243352213045155), we get a palindrome (794892525298497).

The spelling of 551540312253342 in words is "five hundred fifty-one trillion, five hundred forty billion, three hundred twelve million, two hundred fifty-three thousand, three hundred forty-two".