653213551020 has 288 divisors, whose sum is σ = 1981392731136. Its totient is φ = 160692940800.

The previous prime is 653213551013. The next prime is 653213551031. The reversal of 653213551020 is 20155312356.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 214800700 + ... + 214803740.

It is an arithmetic number, because the mean of its divisors is an integer number (6879835872).

Almost surely, 2^653213551020 is an apocalyptic number.

653213551020 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 653213551020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990696365568).

653213551020 is an abundant number, since it is smaller than the sum of its proper divisors (1328179180116).

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

653213551020 is a wasteful number, since it uses less digits than its factorization.

653213551020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

Adding to 653213551020 its reverse (20155312356), we get a palindrome (673368863376).

The spelling of 653213551020 in words is "six hundred fifty-three billion, two hundred thirteen million, five hundred fifty-one thousand, twenty".