65777052 has 72 divisors (see below), whose sum is σ = 170931600. Its totient is φ = 19669760.

The previous prime is 65777039. The next prime is 65777053. The reversal of 65777052 is 25077756.

It is a self number, because there is not a number n which added to its sum of digits gives 65777052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65777053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128974 + ... + 129482.

It is an arithmetic number, because the mean of its divisors is an integer number (2374050).

Almost surely, 2^65777052 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 65777052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85465800).

65777052 is an abundant number, since it is smaller than the sum of its proper divisors (105154548).

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

65777052 is a wasteful number, since it uses less digits than its factorization.

65777052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 39.

The square root of 65777052 is about 8110.3052963498. The cubic root of 65777052 is about 403.6684450930.

The spelling of 65777052 in words is "sixty-five million, seven hundred seventy-seven thousand, fifty-two".