53561376 has 216 divisors, whose sum is σ = 176461740. Its totient is φ = 15375360.

The previous prime is 53561371. The next prime is 53561423. The reversal of 53561376 is 67316535.

It is a happy number.

53561376 is a `hidden beast` number, since 5 + 35 + 613 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52707600 + 853776 = 7260^2 + 924^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 53561376.

It is not an unprimeable number, because it can be changed into a prime (53561371) 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, 1010566 + ... + 1010618.

Almost surely, 2^53561376 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 53561376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88230870).

53561376 is an abundant number, since it is smaller than the sum of its proper divisors (122900364).

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

53561376 is a wasteful number, since it uses less digits than its factorization.

53561376 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 56700, while the sum is 36.

The square root of 53561376 is about 7318.5637935322. The cubic root of 53561376 is about 376.9501396346.

The spelling of 53561376 in words is "fifty-three million, five hundred sixty-one thousand, three hundred seventy-six".