51601056 has 96 divisors (see below), whose sum is σ = 147329280. Its totient is φ = 15719424.

The previous prime is 51601021. The next prime is 51601057. The reversal of 51601056 is 65010615.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (51601057) 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, 215785 + ... + 216023.

It is an arithmetic number, because the mean of its divisors is an integer number (1534680).

Almost surely, 2^51601056 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 51601056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73664640).

51601056 is an abundant number, since it is smaller than the sum of its proper divisors (95728224).

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

51601056 is a wasteful number, since it uses less digits than its factorization.

51601056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 51601056 is about 7183.3875017293. The cubic root of 51601056 is about 372.2941366591.

It can be divided in two parts, 5160 and 1056, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 51601056 in words is "fifty-one million, six hundred one thousand, fifty-six".