653144931 has 64 divisors (see below), whose sum is σ = 1079232000. Its totient is φ = 388644480.

The previous prime is 653144867. The next prime is 653144951. The reversal of 653144931 is 139441356.

It is not a de Polignac number, because 653144931 - 2⁶ = 653144867 is a prime.

It is a super-4 number, since 4×653144931⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (653144951) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 639201 + ... + 640221.

It is an arithmetic number, because the mean of its divisors is an integer number (16863000).

Almost surely, 2^653144931 is an apocalyptic number.

653144931 is a deficient number, since it is larger than the sum of its proper divisors (426087069).

653144931 is a wasteful number, since it uses less digits than its factorization.

653144931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1115 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 653144931 is about 25556.7003151815. The cubic root of 653144931 is about 867.6339157708.

The spelling of 653144931 in words is "six hundred fifty-three million, one hundred forty-four thousand, nine hundred thirty-one".