53569152 has 288 divisors, whose sum is σ = 195757380. Its totient is φ = 13934592.

The previous prime is 53569133. The next prime is 53569157. The reversal of 53569152 is 25196535.

It can be written as a sum of positive squares in 2 ways, for example, as 52186176 + 1382976 = 7224^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (53569157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 733788 + ... + 733860.

Almost surely, 2^53569152 is an apocalyptic number.

53569152 is a gapful number since it is divisible by the number (52) 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 53569152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97878690).

53569152 is an abundant number, since it is smaller than the sum of its proper divisors (142188228).

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

53569152 is a wasteful number, since it uses less digits than its factorization.

53569152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 98 counting only the distinct ones).

The product of its digits is 40500, while the sum is 36.

The square root of 53569152 is about 7319.0950260261. The cubic root of 53569152 is about 376.9683805305.

The spelling of 53569152 in words is "fifty-three million, five hundred sixty-nine thousand, one hundred fifty-two".