2054406367757 has 2 divisors, whose sum is σ = 2054406367758. Its totient is φ = 2054406367756.

The previous prime is 2054406367639. The next prime is 2054406367813. The reversal of 2054406367757 is 7577636044502.

It is an a-pointer prime, because the next prime (2054406367813) can be obtained adding 2054406367757 to its sum of digits (56).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2035584174121 + 18822193636 = 1426739^2 + 137194^2 .

It is a cyclic number.

It is not a de Polignac number, because 2054406367757 - 2²⁶ = 2054339258893 is a prime.

It is a super-3 number, since 3×2054406367757³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2054406367357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1027203183878 + 1027203183879.

It is an arithmetic number, because the mean of its divisors is an integer number (1027203183879).

Almost surely, 2^{2054406367757} is an apocalyptic number.

It is an amenable number.

2054406367757 is a deficient number, since it is larger than the sum of its proper divisors (1).

2054406367757 is an equidigital number, since it uses as much as digits as its factorization.

2054406367757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 29635200, while the sum is 56.

The spelling of 2054406367757 in words is "two trillion, fifty-four billion, four hundred six million, three hundred sixty-seven thousand, seven hundred fifty-seven".