51601256 has 64 divisors (see below), whose sum is σ = 118972800. Its totient is φ = 20477952.

The previous prime is 51601219. The next prime is 51601271. The reversal of 51601256 is 65210615.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63380 + ... + 64188.

It is an arithmetic number, because the mean of its divisors is an integer number (1858950).

Almost surely, 2^51601256 is an apocalyptic number.

51601256 is a gapful number since it is divisible by the number (56) 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 51601256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59486400).

51601256 is an abundant number, since it is smaller than the sum of its proper divisors (67371544).

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

51601256 is a wasteful number, since it uses less digits than its factorization.

51601256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 51601256 is about 7183.4014227245. The cubic root of 51601256 is about 372.2946176488.

The spelling of 51601256 in words is "fifty-one million, six hundred one thousand, two hundred fifty-six".