2551313634342 has 64 divisors (see below), whose sum is σ = 5831126475264. Its totient is φ = 736633610240.

The previous prime is 2551313634301. The next prime is 2551313634343. The reversal of 2551313634342 is 2434363131552.

It is a junction number, because it is equal to n+sod(n) for n = 2551313634294 and 2551313634303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551313634343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2879733 + ... + 3659984.

It is an arithmetic number, because the mean of its divisors is an integer number (91111351176).

Almost surely, 2^{2551313634342} is an apocalyptic number.

2551313634342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2551313634342 is an abundant number, since it is smaller than the sum of its proper divisors (3279812840922).

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

2551313634342 is a wasteful number, since it uses less digits than its factorization.

2551313634342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6540013.

The product of its digits is 777600, while the sum is 42.

Adding to 2551313634342 its reverse (2434363131552), we get a palindrome (4985676765894).

The spelling of 2551313634342 in words is "two trillion, five hundred fifty-one billion, three hundred thirteen million, six hundred thirty-four thousand, three hundred forty-two".