51452466425415 has 128 divisors (see below), whose sum is σ = 103238083215360. Its totient is φ = 24087413750400.

The previous prime is 51452466425407. The next prime is 51452466425417.

51452466425415 is a `hidden beast` number, since 5 + 1 + 4 + 52 + 4 + 6 + 6 + 42 + 541 + 5 = 666.

51452466425415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51452466425415 - 2³ = 51452466425407 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51452466425417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19132014 + ... + 21654996.

It is an arithmetic number, because the mean of its divisors is an integer number (806547525120).

Almost surely, 2^{51452466425415} is an apocalyptic number.

51452466425415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51452466425415 is an abundant number, since it is smaller than the sum of its proper divisors (51785616789945).

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

51452466425415 is a wasteful number, since it uses less digits than its factorization.

51452466425415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523482 (or 2523476 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 54.

The spelling of 51452466425415 in words is "fifty-one trillion, four hundred fifty-two billion, four hundred sixty-six million, four hundred twenty-five thousand, four hundred fifteen".