52509456 has 60 divisors (see below), whose sum is σ = 147512508. Its totient is φ = 17436672.

The previous prime is 52509449. The next prime is 52509461. The reversal of 52509456 is 65490525.

It can be written as a sum of positive squares in 2 ways, for example, as 38937600 + 13571856 = 6240^2 + 3684^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 52509456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50316 + ... + 51348.

Almost surely, 2^52509456 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 52509456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73756254).

52509456 is an abundant number, since it is smaller than the sum of its proper divisors (95003052).

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

52509456 is a wasteful number, since it uses less digits than its factorization.

52509456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 52509456 is about 7246.3408697080. The cubic root of 52509456 is about 374.4660988930.

It can be divided in two parts, 5250 and 9456, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 52509456 in words is "fifty-two million, five hundred nine thousand, four hundred fifty-six".