51413524221135 has 64 divisors (see below), whose sum is σ = 84755632896000. Its totient is φ = 26601762769920.

The previous prime is 51413524221119. The next prime is 51413524221151. The reversal of 51413524221135 is 53112242531415.

51413524221135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51413524221119) and next prime (51413524221151).

It is not a de Polignac number, because 51413524221135 - 2⁴ = 51413524221119 is a prime.

It is a super-3 number, since 3×51413524221135³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51413524221093 and 51413524221102.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 145876425 + ... + 146228445.

It is an arithmetic number, because the mean of its divisors is an integer number (1324306764000).

Almost surely, 2^{51413524221135} is an apocalyptic number.

51413524221135 is a deficient number, since it is larger than the sum of its proper divisors (33342108674865).

51413524221135 is a wasteful number, since it uses less digits than its factorization.

51413524221135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354256.

The product of its digits is 144000, while the sum is 39.

The spelling of 51413524221135 in words is "fifty-one trillion, four hundred thirteen billion, five hundred twenty-four million, two hundred twenty-one thousand, one hundred thirty-five".