653311620 has 144 divisors (see below), whose sum is σ = 2158818480. Its totient is φ = 158957568.

The previous prime is 653311511. The next prime is 653311621. The reversal of 653311620 is 26113356.

653311620 is a `hidden beast` number, since 6 + 5 + 3 + 31 + 1 + 620 = 666.

653311620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2143296 + 651168324 = 1464^2 + 25518^2 .

It is not an unprimeable number, because it can be changed into a prime (653311621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206692 + ... + 209828.

It is an arithmetic number, because the mean of its divisors is an integer number (14991795).

Almost surely, 2^653311620 is an apocalyptic number.

653311620 is a gapful number since it is divisible by the number (60) 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 653311620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079409240).

653311620 is an abundant number, since it is smaller than the sum of its proper divisors (1505506860).

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

653311620 is a wasteful number, since it uses less digits than its factorization.

653311620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 653311620 is about 25559.9612675763. The cubic root of 653311620 is about 867.7077190577.

Adding to 653311620 its reverse (26113356), we get a palindrome (679424976).

It can be divided in two parts, 6533116 and 20, that added together give a square (6533136 = 2556²).

The spelling of 653311620 in words is "six hundred fifty-three million, three hundred eleven thousand, six hundred twenty".