65055056 has 60 divisors (see below), whose sum is σ = 146181120. Its totient is φ = 27809280.

The previous prime is 65055047. The next prime is 65055059.

65055056 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×65055056² = 8464320622326272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65055059) 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 11 ways as a sum of consecutive naturals, for example, 50225 + ... + 51503.

It is an arithmetic number, because the mean of its divisors is an integer number (2436352).

Almost surely, 2^65055056 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 65055056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73090560).

65055056 is an abundant number, since it is smaller than the sum of its proper divisors (81126064).

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

65055056 is a wasteful number, since it uses less digits than its factorization.

65055056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

The square root of 65055056 is about 8065.6714537601. The cubic root of 65055056 is about 402.1860643753.

It can be divided in two parts, 6505505 and 6, that multiplied together give a triangular number (39033030 = T₈₈₃₅).

The spelling of 65055056 in words is "sixty-five million, fifty-five thousand, fifty-six".