13257445653 has 24 divisors (see below), whose sum is σ = 19741741656. Its totient is φ = 8567769600.

The previous prime is 13257445639. The next prime is 13257445679. The reversal of 13257445653 is 35654475231.

13257445653 is a `hidden beast` number, since 1 + 32 + 57 + 4 + 4 + 565 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 138721284 + 13118724369 = 11778^2 + 114537^2 .

It is not a de Polignac number, because 13257445653 - 2⁶ = 13257445589 is a prime.

It is a super-3 number, since 3×13257445653³ (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13257445599 and 13257445608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13257445633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56488 + ... + 172353.

It is an arithmetic number, because the mean of its divisors is an integer number (822572569).

Almost surely, 2^13257445653 is an apocalyptic number.

It is an amenable number.

13257445653 is a deficient number, since it is larger than the sum of its proper divisors (6484296003).

13257445653 is a wasteful number, since it uses less digits than its factorization.

13257445653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229045 (or 229042 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The spelling of 13257445653 in words is "thirteen billion, two hundred fifty-seven million, four hundred forty-five thousand, six hundred fifty-three".