2653523713296 has 105 divisors (see below), whose sum is σ = 7708788181159. Its totient is φ = 884449261728.

The previous prime is 2653523713273. The next prime is 2653523713297. The reversal of 2653523713296 is 6923173253562.

The square root of 2653523713296 is 1628964.

It is a perfect power (a square), and thus also a powerful number.

2653523713296 is a `hidden beast` number, since 2 + 6 + 535 + 2 + 3 + 7 + 13 + 2 + 96 = 666.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2653523713297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 175920571 + ... + 175935653.

Almost surely, 2^{2653523713296} is an apocalyptic number.

2653523713296 is the 1628964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2653523713296

2653523713296 is an abundant number, since it is smaller than the sum of its proper divisors (5055264467863).

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

2653523713296 is an frugal number, since it uses more digits than its factorization.

2653523713296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30192 (or 15088 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 54.

The spelling of 2653523713296 in words is "two trillion, six hundred fifty-three billion, five hundred twenty-three million, seven hundred thirteen thousand, two hundred ninety-six".