653725953 has 24 divisors (see below), whose sum is σ = 971565608. Its totient is φ = 423263232.

The previous prime is 653725949. The next prime is 653725957. The reversal of 653725953 is 359527356.

It is a happy number.

653725953 is a `hidden beast` number, since 6 + 53 + 7 + 2 + 595 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (653725949) and next prime (653725957).

It can be written as a sum of positive squares in 4 ways, for example, as 405096129 + 248629824 = 20127^2 + 15768^2 .

It is not a de Polignac number, because 653725953 - 2² = 653725949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 653725899 and 653725908.

It is not an unprimeable number, because it can be changed into a prime (653725957) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 222651 + ... + 225567.

Almost surely, 2^653725953 is an apocalyptic number.

It is an amenable number.

653725953 is a deficient number, since it is larger than the sum of its proper divisors (317839655).

653725953 is a wasteful number, since it uses less digits than its factorization.

653725953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3630 counting only the distinct ones).

The product of its digits is 850500, while the sum is 45.

The square root of 653725953 is about 25568.0651008245. The cubic root of 653725953 is about 867.8911149315.

The spelling of 653725953 in words is "six hundred fifty-three million, seven hundred twenty-five thousand, nine hundred fifty-three".