608963290321 has 27 divisors (see below), whose sum is σ = 641386433883. Its totient is φ = 578153857680.

The previous prime is 608963290319. The next prime is 608963290333. The reversal of 608963290321 is 123092369806.

The square root of 608963290321 is 780361.

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., 319325577921 + 289637712400 = 565089^2 + 538180^2 .

It is not a de Polignac number, because 608963290321 - 2¹ = 608963290319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (608963290921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1606763110 + ... + 1606763488.

Almost surely, 2^608963290321 is an apocalyptic number.

608963290321 is the 780361-st square number.

608963290321 is the 417121-st centered heptagonal number and also the 390181-st centered octagonal number.

It is an amenable number.

608963290321 is a deficient number, since it is larger than the sum of its proper divisors (32423143562).

608963290321 is an frugal number, since it uses more digits than its factorization.

608963290321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

Multiplying 608963290321 by its sum of digits (49), we get a square (29839201225729 = 5462527²).

The spelling of 608963290321 in words is "six hundred eight billion, nine hundred sixty-three million, two hundred ninety thousand, three hundred twenty-one".