51567152 has 80 divisors (see below), whose sum is σ = 124492032. Its totient is φ = 20148480.

The previous prime is 51567149. The next prime is 51567161. The reversal of 51567152 is 25176515.

It is a super-2 number, since 2×51567152² = 5318342330782208, which contains 22 as substring.

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, 155627 + ... + 155957.

Almost surely, 2^51567152 is an apocalyptic number.

51567152 is a gapful number since it is divisible by the number (52) 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 51567152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62246016).

51567152 is an abundant number, since it is smaller than the sum of its proper divisors (72924880).

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

51567152 is a wasteful number, since it uses less digits than its factorization.

51567152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its digits is 10500, while the sum is 32.

The square root of 51567152 is about 7181.0272245689. The cubic root of 51567152 is about 372.2125813135.

The spelling of 51567152 in words is "fifty-one million, five hundred sixty-seven thousand, one hundred fifty-two".