51577552 has 80 divisors (see below), whose sum is σ = 117214720. Its totient is φ = 21772800.

The previous prime is 51577543. The next prime is 51577553. The reversal of 51577552 is 25577515.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51577553) 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, 122302 + ... + 122722.

It is an arithmetic number, because the mean of its divisors is an integer number (1465184).

Almost surely, 2^51577552 is an apocalyptic number.

51577552 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 51577552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58607360).

51577552 is an abundant number, since it is smaller than the sum of its proper divisors (65637168).

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

51577552 is a wasteful number, since it uses less digits than its factorization.

51577552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 486 counting only the distinct ones).

The product of its digits is 61250, while the sum is 37.

The square root of 51577552 is about 7181.7513184459. The cubic root of 51577552 is about 372.2376020905.

Subtracting from 51577552 its sum of digits (37), we obtain a palindrome (51577515).

The spelling of 51577552 in words is "fifty-one million, five hundred seventy-seven thousand, five hundred fifty-two".