51577932 has 96 divisors (see below), whose sum is σ = 153377280. Its totient is φ = 13132800.

The previous prime is 51577919. The next prime is 51577961. The reversal of 51577932 is 23977515.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26182 + ... + 28082.

It is an arithmetic number, because the mean of its divisors is an integer number (1597680).

Almost surely, 2^51577932 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 51577932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76688640).

51577932 is an abundant number, since it is smaller than the sum of its proper divisors (101799348).

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

51577932 is a wasteful number, since it uses less digits than its factorization.

51577932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1949 counting only the distinct ones).

The product of its digits is 66150, while the sum is 39.

The square root of 51577932 is about 7181.7777743397. Note that the first 5 decimals coincide. The cubic root of 51577932 is about 372.2385162475.

The spelling of 51577932 in words is "fifty-one million, five hundred seventy-seven thousand, nine hundred thirty-two".