51200415 has 96 divisors (see below), whose sum is σ = 109264896. Its totient is φ = 21669120.

The previous prime is 51200393. The next prime is 51200417. The reversal of 51200415 is 51400215.

51200415 is a `hidden beast` number, since 51 + 200 + 415 = 666.

51200415 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 51200415 - 2⁶ = 51200351 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51200417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267970 + ... + 268160.

It is an arithmetic number, because the mean of its divisors is an integer number (1138176).

Almost surely, 2^51200415 is an apocalyptic number.

51200415 is an abundant number, since it is smaller than the sum of its proper divisors (58064481).

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

51200415 is a wasteful number, since it uses less digits than its factorization.

51200415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 51200415 is about 7155.4465269471. The cubic root of 51200415 is about 371.3281099464.

Subtracting from 51200415 its product of nonzero digits (200), we obtain a palindrome (51200215).

It can be divided in two parts, 51200 and 415, that added together give a palindrome (51615).

The spelling of 51200415 in words is "fifty-one million, two hundred thousand, four hundred fifteen".