653053451131260 has 144 divisors (see below), whose sum is σ = 1994152450635072. Its totient is φ = 172985189760000.

The previous prime is 653053451131199. The next prime is 653053451131267. The reversal of 653053451131260 is 62131154350356.

653053451131260 is a `hidden beast` number, since 6 + 5 + 3 + 0 + 5 + 3 + 4 + 511 + 3 + 126 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653053451131267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523978752 + ... + 525223608.

It is an arithmetic number, because the mean of its divisors is an integer number (13848280907188).

Almost surely, 2^{653053451131260} is an apocalyptic number.

653053451131260 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653053451131260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997076225317536).

653053451131260 is an abundant number, since it is smaller than the sum of its proper divisors (1341098999503812).

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

653053451131260 is a wasteful number, since it uses less digits than its factorization.

653053451131260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264324 (or 1264319 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 653053451131260 in words is "six hundred fifty-three trillion, fifty-three billion, four hundred fifty-one million, one hundred thirty-one thousand, two hundred sixty".