51488415 has 96 divisors (see below), whose sum is σ = 103783680. Its totient is φ = 23385600.

The previous prime is 51488413. The next prime is 51488441.

51488415 = 3207² + 3208² + ... + 3211².

51488415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51488415 - 2¹ = 51488413 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 51488415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51488413) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 872656 + ... + 872714.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 2^51488415 is an apocalyptic number.

51488415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51488415 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

51488415 is a wasteful number, since it uses less digits than its factorization.

51488415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 162 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 51488415 is about 7175.5428366083. The cubic root of 51488415 is about 372.0230431442.

The spelling of 51488415 in words is "fifty-one million, four hundred eighty-eight thousand, four hundred fifteen".