53509776 has 80 divisors (see below), whose sum is σ = 151895040. Its totient is φ = 16156800.

The previous prime is 53509741. The next prime is 53509777. The reversal of 53509776 is 67790535.

It is a super-2 number, since 2×53509776² = 5726592255140352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53509777) 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, 19701 + ... + 22251.

It is an arithmetic number, because the mean of its divisors is an integer number (1898688).

Almost surely, 2^53509776 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 53509776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75947520).

53509776 is an abundant number, since it is smaller than the sum of its proper divisors (98385264).

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

53509776 is a wasteful number, since it uses less digits than its factorization.

53509776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 42.

The square root of 53509776 is about 7315.0376622407. The cubic root of 53509776 is about 376.8290519024.

It can be divided in two parts, 53509 and 776, that added together give a triangular number (54285 = T₃₂₉).

The spelling of 53509776 in words is "fifty-three million, five hundred nine thousand, seven hundred seventy-six".