653462265632 has 90 divisors (see below), whose sum is σ = 1416344706945. Its totient is φ = 296776796800.

The previous prime is 653462265587. The next prime is 653462265649. The reversal of 653462265632 is 236562264356.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 506892737296 + 146569528336 = 711964^2 + 382844^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=571604.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 553312082 + ... + 553313262.

Almost surely, 2^653462265632 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 653462265632

653462265632 is an abundant number, since it is smaller than the sum of its proper divisors (762882441313).

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

653462265632 is an frugal number, since it uses more digits than its factorization.

653462265632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 1194 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 50.

Multiplying 653462265632 by its sum of digits (50), we get a square (32673113281600 = 5716040²).

The spelling of 653462265632 in words is "six hundred fifty-three billion, four hundred sixty-two million, two hundred sixty-five thousand, six hundred thirty-two".