51343400434315 has 32 divisors (see below), whose sum is σ = 70751352983040. Its totient is φ = 35375037984000.

The previous prime is 51343400434241. The next prime is 51343400434343.

51343400434315 is nontrivially palindromic in base 10.

51343400434315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51343400434315 - 2⁷ = 51343400434187 is a prime.

It is a super-2 number, since 2×51343400434315² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226868215 + ... + 227094415.

It is an arithmetic number, because the mean of its divisors is an integer number (2210979780720).

Almost surely, 2^{51343400434315} is an apocalyptic number.

51343400434315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51343400434315 is a deficient number, since it is larger than the sum of its proper divisors (19407952548725).

51343400434315 is a wasteful number, since it uses less digits than its factorization.

51343400434315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443443.

The product of its (nonzero) digits is 518400, while the sum is 40.

It can be divided in two parts, 51343400 and 434315, that added together give a palindrome (51777715).

The spelling of 51343400434315 in words is "fifty-one trillion, three hundred forty-three billion, four hundred million, four hundred thirty-four thousand, three hundred fifteen".