51633615 has 16 divisors (see below), whose sum is σ = 90124416. Its totient is φ = 25034400.

The previous prime is 51633563. The next prime is 51633619.

51633615 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 51633615 - 2⁷ = 51633487 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51633619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156301 + ... + 156630.

It is an arithmetic number, because the mean of its divisors is an integer number (5632776).

Almost surely, 2^51633615 is an apocalyptic number.

51633615 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

51633615 is a deficient number, since it is larger than the sum of its proper divisors (38490801).

51633615 is a wasteful number, since it uses less digits than its factorization.

51633615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312950.

The product of its digits is 8100, while the sum is 30.

The square root of 51633615 is about 7185.6534149651. The cubic root of 51633615 is about 372.3724230170.

It can be divided in two parts, 5163 and 3615, that added together give a palindrome (8778).

The spelling of 51633615 in words is "fifty-one million, six hundred thirty-three thousand, six hundred fifteen".