51557000 has 128 divisors (see below), whose sum is σ = 135907200. Its totient is φ = 18144000.

The previous prime is 51556991. The next prime is 51557029. The reversal of 51557000 is 75515.

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, 472946 + ... + 473054.

It is an arithmetic number, because the mean of its divisors is an integer number (1061775).

Almost surely, 2^51557000 is an apocalyptic number.

51557000 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 51557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67953600).

51557000 is an abundant number, since it is smaller than the sum of its proper divisors (84350200).

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

51557000 is a wasteful number, since it uses less digits than its factorization.

51557000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 875, while the sum is 23.

The square root of 51557000 is about 7180.3203271163. The cubic root of 51557000 is about 372.1881539408.

The spelling of 51557000 in words is "fifty-one million, five hundred fifty-seven thousand".