653247276552 has 640 divisors, whose sum is σ = 2158931174400. Its totient is φ = 182932577280.

The previous prime is 653247276491. The next prime is 653247276593. The reversal of 653247276552 is 255672742356.

653247276552 is a `hidden beast` number, since 6 + 53 + 2 + 472 + 76 + 5 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (21168000) is a multiple of the sum of its prime factors (280).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 4768228228 + ... + 4768228364.

It is an arithmetic number, because the mean of its divisors is an integer number (3373329960).

Almost surely, 2^653247276552 is an apocalyptic number.

653247276552 is a gapful number since it is divisible by the number (62) 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 653247276552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079465587200).

653247276552 is an abundant number, since it is smaller than the sum of its proper divisors (1505683897848).

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

653247276552 is a wasteful number, since it uses less digits than its factorization.

653247276552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 205 counting only the distinct ones).

The product of its digits is 21168000, while the sum is 54.

The spelling of 653247276552 in words is "six hundred fifty-three billion, two hundred forty-seven million, two hundred seventy-six thousand, five hundred fifty-two".