53088945 has 128 divisors (see below), whose sum is σ = 116121600. Its totient is φ = 20072448.

The previous prime is 53088923. The next prime is 53088947. The reversal of 53088945 is 54988035.

53088945 = 470² + 471² + ... + 640².

It is not a de Polignac number, because 53088945 - 2⁵ = 53088913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 53088897 and 53088906.

It is not an unprimeable number, because it can be changed into a prime (53088947) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 596461 + ... + 596549.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^53088945 is an apocalyptic number.

It is an amenable number.

53088945 is an abundant number, since it is smaller than the sum of its proper divisors (63032655).

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

53088945 is a wasteful number, since it uses less digits than its factorization.

53088945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159.

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 53088945 is about 7286.2160961640. The cubic root of 53088945 is about 375.8385855558.

The spelling of 53088945 in words is "fifty-three million, eighty-eight thousand, nine hundred forty-five".