51577240 has 128 divisors (see below), whose sum is σ = 139345920. Its totient is φ = 16934400.

The previous prime is 51577213. The next prime is 51577241. The reversal of 51577240 is 4277515.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51577241) 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, 406057 + ... + 406183.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 2^51577240 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 51577240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

51577240 is an abundant number, since it is smaller than the sum of its proper divisors (87768680).

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

51577240 is a wasteful number, since it uses less digits than its factorization.

51577240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 31.

The square root of 51577240 is about 7181.7295966919. The cubic root of 51577240 is about 372.2368515161.

The spelling of 51577240 in words is "fifty-one million, five hundred seventy-seven thousand, two hundred forty".