51679152 has 120 divisors (see below), whose sum is σ = 166822656. Its totient is φ = 14629248.

The previous prime is 51679151. The next prime is 51679153. The reversal of 51679152 is 25197615.

51679152 is a `hidden beast` number, since 516 + 7 + 91 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (51679151) and next prime (51679153).

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 Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51679151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168183 + ... + 168489.

Almost surely, 2^51679152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51679152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83411328).

51679152 is an abundant number, since it is smaller than the sum of its proper divisors (115143504).

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

51679152 is a wasteful number, since it uses less digits than its factorization.

51679152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 486 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 51679152 is about 7188.8213220249. The cubic root of 51679152 is about 372.4818590928.

The spelling of 51679152 in words is "fifty-one million, six hundred seventy-nine thousand, one hundred fifty-two".