20753523777757 has 2 divisors, whose sum is σ = 20753523777758. Its totient is φ = 20753523777756.

The previous prime is 20753523777751. The next prime is 20753523777761. The reversal of 20753523777757 is 75777732535702.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20602030790916 + 151492986841 = 4538946^2 + 389221^2 .

It is a cyclic number.

It is not a de Polignac number, because 20753523777757 - 2²³ = 20753515389149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20753523777692 and 20753523777701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20753523777751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10376761888878 + 10376761888879.

It is an arithmetic number, because the mean of its divisors is an integer number (10376761888879).

Almost surely, 2^{20753523777757} is an apocalyptic number.

It is an amenable number.

20753523777757 is a deficient number, since it is larger than the sum of its proper divisors (1).

20753523777757 is an equidigital number, since it uses as much as digits as its factorization.

20753523777757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 529420500, while the sum is 67.

The spelling of 20753523777757 in words is "twenty trillion, seven hundred fifty-three billion, five hundred twenty-three million, seven hundred seventy-seven thousand, seven hundred fifty-seven".