51966915 has 64 divisors (see below), whose sum is σ = 111670272. Its totient is φ = 19929600.

The previous prime is 51966857. The next prime is 51966917.

51966915 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51966915 - 2¹⁷ = 51835843 is a prime.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (51966917) 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, 13285 + ... + 16745.

It is an arithmetic number, because the mean of its divisors is an integer number (1744848).

Almost surely, 2^51966915 is an apocalyptic number.

51966915 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51966915 is an abundant number, since it is smaller than the sum of its proper divisors (59703357).

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

51966915 is a wasteful number, since it uses less digits than its factorization.

51966915 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500.

The product of its digits is 72900, while the sum is 42.

The square root of 51966915 is about 7208.8081539184. The cubic root of 51966915 is about 373.1719385464.

The spelling of 51966915 in words is "fifty-one million, nine hundred sixty-six thousand, nine hundred fifteen".