654030345516289 has 27 divisors (see below), whose sum is σ = 771391057340547. Its totient is φ = 552906974065824.

The previous prime is 654030345516259. The next prime is 654030345516337. The reversal of 654030345516289 is 982615543030456.

The square root of 654030345516289 is 25574017.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 371259484929025 + 282770860587264 = 19268095^2 + 16815792^2 .

It is not a de Polignac number, because 654030345516289 - 2⁵ = 654030345516257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (654030345516259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13068297664 + ... + 13068347710.

It is an arithmetic number, because the mean of its divisors is an integer number (28570039160761).

Almost surely, 2^{654030345516289} is an apocalyptic number.

654030345516289 is the 25574017-th square number.

654030345516289 is the 12787009-th centered octagonal number.

It is an amenable number.

654030345516289 is a deficient number, since it is larger than the sum of its proper divisors (117360711824258).

654030345516289 is an frugal number, since it uses more digits than its factorization.

654030345516289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100254 (or 50127 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 61.

The spelling of 654030345516289 in words is "six hundred fifty-four trillion, thirty billion, three hundred forty-five million, five hundred sixteen thousand, two hundred eighty-nine".