51772600 has 96 divisors (see below), whose sum is σ = 133183440. Its totient is φ = 18560000.

The previous prime is 51772597. The next prime is 51772601. The reversal of 51772600 is 627715.

51772600 = 253² + 254² + ... + 555².

It is a super-2 number, since 2×51772600² = 5360804221520000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51772601) 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, 222084 + ... + 222316.

Almost surely, 2^51772600 is an apocalyptic number.

51772600 is a gapful number since it is divisible by the number (50) 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 51772600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66591720).

51772600 is an abundant number, since it is smaller than the sum of its proper divisors (81410840).

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

51772600 is a wasteful number, since it uses less digits than its factorization.

51772600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 51772600 is about 7195.3179220935. The cubic root of 51772600 is about 372.7062353601.

It can be divided in two parts, 5177 and 2600, that added together give a palindrome (7777).

The spelling of 51772600 in words is "fifty-one million, seven hundred seventy-two thousand, six hundred".