2253533601564 has 72 divisors (see below), whose sum is σ = 6893161617888. Its totient is φ = 605992227840.

The previous prime is 2253533601541. The next prime is 2253533601589. The reversal of 2253533601564 is 4651063353522.

2253533601564 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 5 + 33 + 601 + 5 + 6 + 4 = 666.

It is a super-3 number, since 3×2253533601564³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 263013177 + ... + 263021744.

It is an arithmetic number, because the mean of its divisors is an integer number (95738355804).

Almost surely, 2^{2253533601564} is an apocalyptic number.

It is an amenable number.

2253533601564 is an abundant number, since it is smaller than the sum of its proper divisors (4639628016324).

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

2253533601564 is a wasteful number, since it uses less digits than its factorization.

2253533601564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526034955 (or 526034950 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 2253533601564 in words is "two trillion, two hundred fifty-three billion, five hundred thirty-three million, six hundred one thousand, five hundred sixty-four".