53753000 has 96 divisors (see below), whose sum is σ = 146451240. Its totient is φ = 18412800.

The previous prime is 53752981. The next prime is 53753057. The reversal of 53753000 is 35735.

It can be written as a sum of positive squares in 4 ways, for example, as 10640644 + 43112356 = 3262^2 + 6566^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48452 + ... + 49548.

Almost surely, 2^53753000 is an apocalyptic number.

53753000 is a gapful number since it is divisible by the number (50) 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 53753000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73225620).

53753000 is an abundant number, since it is smaller than the sum of its proper divisors (92698240).

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

53753000 is a wasteful number, since it uses less digits than its factorization.

53753000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 23.

The square root of 53753000 is about 7331.6437447547. The cubic root of 53753000 is about 377.3991368324.

Adding to 53753000 its reverse (35735), we get a palindrome (53788735).

The spelling of 53753000 in words is "fifty-three million, seven hundred fifty-three thousand".