59552 has 12 divisors (see below), whose sum is σ = 117306. Its totient is φ = 29760.

The previous prime is 59539. The next prime is 59557. The reversal of 59552 is 25595.

It can be written as a sum of positive squares in only one way, i.e., 59536 + 16 = 244^2 + 4^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 5³ + 9⁵ + 5³ + 5³ + 2⁷ .

It is not an unprimeable number, because it can be changed into a prime (59557) by changing a digit.

59552 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 899 + ... + 962.

2⁵⁹⁵⁵² is an apocalyptic number.

It is an amenable number.

59552 is a deficient number, since it is larger than the sum of its proper divisors (57754).

59552 is a wasteful number, since it uses less digits than its factorization.

59552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1863 counting only the distinct ones).

The product of its digits is 2250, while the sum is 26.

The square root of 59552 is about 244.0327846827. The cubic root of 59552 is about 39.0509961858.

The spelling of 59552 in words is "fifty-nine thousand, five hundred fifty-two".