2553510817541 has 2 divisors, whose sum is σ = 2553510817542. Its totient is φ = 2553510817540.

The previous prime is 2553510817499. The next prime is 2553510817573. The reversal of 2553510817541 is 1457180153552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1734357302500 + 819153515041 = 1316950^2 + 905071^2 .

It is a cyclic number.

It is not a de Polignac number, because 2553510817541 - 2¹⁰ = 2553510816517 is a prime.

It is a super-3 number, since 3×2553510817541³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2553510810541) 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 as a sum of consecutive naturals, namely, 1276755408770 + 1276755408771.

It is an arithmetic number, because the mean of its divisors is an integer number (1276755408771).

Almost surely, 2^{2553510817541} is an apocalyptic number.

It is an amenable number.

2553510817541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2553510817541 is an equidigital number, since it uses as much as digits as its factorization.

2553510817541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840000, while the sum is 47.

The spelling of 2553510817541 in words is "two trillion, five hundred fifty-three billion, five hundred ten million, eight hundred seventeen thousand, five hundred forty-one".