653005204500 has 192 divisors, whose sum is σ = 2078670117888. Its totient is φ = 157979920000.

The previous prime is 653005204493. The next prime is 653005204517. The reversal of 653005204500 is 5402500356.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8061199 + ... + 8141801.

It is an arithmetic number, because the mean of its divisors is an integer number (10826406864).

Almost surely, 2^653005204500 is an apocalyptic number.

653005204500 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 653005204500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039335058944).

653005204500 is an abundant number, since it is smaller than the sum of its proper divisors (1425664913388).

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

653005204500 is a wasteful number, since it uses less digits than its factorization.

653005204500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81127 (or 81115 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 653005204500 its reverse (5402500356), we get a palindrome (658407704856).

The spelling of 653005204500 in words is "six hundred fifty-three billion, five million, two hundred four thousand, five hundred".