512451210006553 has 2 divisors, whose sum is σ = 512451210006554. Its totient is φ = 512451210006552.

The previous prime is 512451210006509. The next prime is 512451210006557. The reversal of 512451210006553 is 355600012154215.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 481642848927769 + 30808361078784 = 21946363^2 + 5550528^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-512451210006553 is a prime.

It is not a weakly prime, because it can be changed into another prime (512451210006557) 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, 256225605003276 + 256225605003277.

It is an arithmetic number, because the mean of its divisors is an integer number (256225605003277).

Almost surely, 2^{512451210006553} is an apocalyptic number.

It is an amenable number.

512451210006553 is a deficient number, since it is larger than the sum of its proper divisors (1).

512451210006553 is an equidigital number, since it uses as much as digits as its factorization.

512451210006553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180000, while the sum is 40.

The spelling of 512451210006553 in words is "five hundred twelve trillion, four hundred fifty-one billion, two hundred ten million, six thousand, five hundred fifty-three".