52609536 has 180 divisors, whose sum is σ = 177382062. Its totient is φ = 14966784.

The previous prime is 52609493. The next prime is 52609547. The reversal of 52609536 is 63590625.

It can be written as a sum of positive squares in only one way, i.e., 49787136 + 2822400 = 7056^2 + 1680^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 52609536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225676 + ... + 225908.

Almost surely, 2^52609536 is an apocalyptic number.

52609536 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 52609536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88691031).

52609536 is an abundant number, since it is smaller than the sum of its proper divisors (124772526).

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

52609536 is a wasteful number, since it uses less digits than its factorization.

52609536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 52609536 is about 7253.2431366941. The cubic root of 52609536 is about 374.7038515178.

The spelling of 52609536 in words is "fifty-two million, six hundred nine thousand, five hundred thirty-six".