51285696 has 112 divisors (see below), whose sum is σ = 169224960. Its totient is φ = 13317120.

The previous prime is 51285673. The next prime is 51285701. The reversal of 51285696 is 69658215.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×51285696² = 5260445228408832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13050 + ... + 16518.

Almost surely, 2^51285696 is an apocalyptic number.

51285696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51285696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84612480).

51285696 is an abundant number, since it is smaller than the sum of its proper divisors (117939264).

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

51285696 is a wasteful number, since it uses less digits than its factorization.

51285696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3492 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 51285696 is about 7161.4032144546. The cubic root of 51285696 is about 371.5341607946.

The spelling of 51285696 in words is "fifty-one million, two hundred eighty-five thousand, six hundred ninety-six".