51283152 has 80 divisors (see below), whose sum is σ = 155882880. Its totient is φ = 16086528.

The previous prime is 51283151. The next prime is 51283153. The reversal of 51283152 is 25138215.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51283151) and next prime (51283153).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51283151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3853 + ... + 10835.

It is an arithmetic number, because the mean of its divisors is an integer number (1948536).

Almost surely, 2^51283152 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 51283152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77941440).

51283152 is an abundant number, since it is smaller than the sum of its proper divisors (104599728).

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

51283152 is a wasteful number, since it uses less digits than its factorization.

51283152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7017 (or 7005 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 51283152 is about 7161.2255934302. The cubic root of 51283152 is about 371.5280174408.

The spelling of 51283152 in words is "fifty-one million, two hundred eighty-three thousand, one hundred fifty-two".