653405641 has 24 divisors (see below), whose sum is σ = 798145920. Its totient is φ = 532600992.

The previous prime is 653405617. The next prime is 653405657. The reversal of 653405641 is 146504356.

It is not a de Polignac number, because 653405641 - 2²³ = 645017033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 653405597 and 653405606.

It is not an unprimeable number, because it can be changed into a prime (653405741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91776 + ... + 98638.

It is an arithmetic number, because the mean of its divisors is an integer number (33256080).

Almost surely, 2^653405641 is an apocalyptic number.

It is an amenable number.

653405641 is a deficient number, since it is larger than the sum of its proper divisors (144740279).

653405641 is a wasteful number, since it uses less digits than its factorization.

653405641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6973 (or 6966 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 653405641 is about 25561.8004256351. The cubic root of 653405641 is about 867.7493422952.

Adding to 653405641 its reverse (146504356), we get a palindrome (799909997).

The spelling of 653405641 in words is "six hundred fifty-three million, four hundred five thousand, six hundred forty-one".