653123016 has 192 divisors, whose sum is σ = 2205141120. Its totient is φ = 170035200.

The previous prime is 653123011. The next prime is 653123041. The reversal of 653123016 is 610321356.

653123016 is a `hidden beast` number, since 653 + 1 + 2 + 3 + 0 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (653123011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543216 + ... + 544416.

It is an arithmetic number, because the mean of its divisors is an integer number (11485110).

Almost surely, 2^653123016 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 653123016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102570560).

653123016 is an abundant number, since it is smaller than the sum of its proper divisors (1552018104).

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

653123016 is a wasteful number, since it uses less digits than its factorization.

653123016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 653123016 is about 25556.2715590518. The cubic root of 653123016 is about 867.6242117429.

The spelling of 653123016 in words is "six hundred fifty-three million, one hundred twenty-three thousand, sixteen".