53825904 has 160 divisors (see below), whose sum is σ = 172846080. Its totient is φ = 15897600.

The previous prime is 53825903. The next prime is 53825923. The reversal of 53825904 is 40952835.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53825903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223224 + ... + 223464.

It is an arithmetic number, because the mean of its divisors is an integer number (1080288).

Almost surely, 2^53825904 is an apocalyptic number.

53825904 is a gapful number since it is divisible by the number (54) 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 53825904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86423040).

53825904 is an abundant number, since it is smaller than the sum of its proper divisors (119020176).

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

53825904 is a wasteful number, since it uses less digits than its factorization.

53825904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 53825904 is about 7336.6139328712. The cubic root of 53825904 is about 377.5696791104.

The spelling of 53825904 in words is "fifty-three million, eight hundred twenty-five thousand, nine hundred four".