52131456 has 144 divisors (see below), whose sum is σ = 164337810. Its totient is φ = 15768576.

The previous prime is 52131451. The next prime is 52131461. The reversal of 52131456 is 65413125.

It is an interprime number because it is at equal distance from previous prime (52131451) and next prime (52131461).

It can be written as a sum of positive squares in only one way, i.e., 50126400 + 2005056 = 7080^2 + 1416^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (52131451) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 883555 + ... + 883613.

Almost surely, 2^52131456 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 52131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82168905).

52131456 is an abundant number, since it is smaller than the sum of its proper divisors (112206354).

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

52131456 is a wasteful number, since it uses less digits than its factorization.

52131456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 77 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 52131456 is about 7220.2116312474. The cubic root of 52131456 is about 373.5653772860.

The spelling of 52131456 in words is "fifty-two million, one hundred thirty-one thousand, four hundred fifty-six".