42553312 has 96 divisors (see below), whose sum is σ = 97977600. Its totient is φ = 18044928.

The previous prime is 42553307. The next prime is 42553319. The reversal of 42553312 is 21335524.

Its product of digits (3600) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42553319) 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, 237639 + ... + 237817.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 2^42553312 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 42553312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

42553312 is an abundant number, since it is smaller than the sum of its proper divisors (55424288).

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

42553312 is a wasteful number, since it uses less digits than its factorization.

42553312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its digits is 3600, while the sum is 25.

The square root of 42553312 is about 6523.2899674934. The cubic root of 42553312 is about 349.1224601244.

Adding to 42553312 its reverse (21335524), we get a palindrome (63888836).

It can be divided in two parts, 425 and 53312, that multiplied together give a square (22657600 = 4760²).

The spelling of 42553312 in words is "forty-two million, five hundred fifty-three thousand, three hundred twelve".