53305616 has 80 divisors (see below), whose sum is σ = 131324928. Its totient is φ = 20390400.

The previous prime is 53305613. The next prime is 53305619. The reversal of 53305616 is 61650335.

It is an interprime number because it is at equal distance from previous prime (53305613) and next prime (53305619).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53305613) 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, 44546 + ... + 45726.

Almost surely, 2^53305616 is an apocalyptic number.

53305616 is a gapful number since it is divisible by the number (56) 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 53305616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65662464).

53305616 is an abundant number, since it is smaller than the sum of its proper divisors (78019312).

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

53305616 is a wasteful number, since it uses less digits than its factorization.

53305616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 29.

The square root of 53305616 is about 7301.0695106950. The cubic root of 53305616 is about 376.3491927298.

The spelling of 53305616 in words is "fifty-three million, three hundred five thousand, six hundred sixteen".