51177852 has 96 divisors (see below), whose sum is σ = 151119360. Its totient is φ = 14826240.

The previous prime is 51177851. The next prime is 51177853. The reversal of 51177852 is 25877115.

It is an interprime number because it is at equal distance from previous prime (51177851) and next prime (51177853).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51177851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26388 + ... + 28260.

It is an arithmetic number, because the mean of its divisors is an integer number (1574160).

Almost surely, 2^51177852 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 51177852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75559680).

51177852 is an abundant number, since it is smaller than the sum of its proper divisors (99941508).

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

51177852 is a wasteful number, since it uses less digits than its factorization.

51177852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1912 counting only the distinct ones).

The product of its digits is 19600, while the sum is 36.

The square root of 51177852 is about 7153.8697220455. The cubic root of 51177852 is about 371.2735563055.

The spelling of 51177852 in words is "fifty-one million, one hundred seventy-seven thousand, eight hundred fifty-two".