51345422454315 has 64 divisors (see below), whose sum is σ = 90196333056000. Its totient is φ = 24735403271040.

The previous prime is 51345422454311. The next prime is 51345422454343.

It is a happy number.

51345422454315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51345422454315 - 2² = 51345422454311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51345422454311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17316442 + ... + 20063648.

It is an arithmetic number, because the mean of its divisors is an integer number (1409317704000).

Almost surely, 2^{51345422454315} is an apocalyptic number.

51345422454315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51345422454315 is a deficient number, since it is larger than the sum of its proper divisors (38850910601685).

51345422454315 is a wasteful number, since it uses less digits than its factorization.

51345422454315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747952.

The product of its digits is 5760000, while the sum is 48.

It can be divided in two parts, 5134542 and 2454315, that added together give a palindrome (7588857).

The spelling of 51345422454315 in words is "fifty-one trillion, three hundred forty-five billion, four hundred twenty-two million, four hundred fifty-four thousand, three hundred fifteen".