985403655625 has 45 divisors (see below), whose sum is σ = 1254448622163. Its totient is φ = 773810016000.

The previous prime is 985403655553. The next prime is 985403655637. The reversal of 985403655625 is 526556304589.

The square root of 985403655625 is 992675.

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

985403655625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 884797965769 + 100605689856 = 940637^2 + 317184^2 .

It is not a de Polignac number, because 985403655625 - 2⁷ = 985403655497 is a prime.

It is a super-2 number, since 2×985403655625² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 985403655625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1464195289 + ... + 1464195961.

Almost surely, 2^985403655625 is an apocalyptic number.

985403655625 is the 992675-th square number.

985403655625 is the 496338-th centered octagonal number.

It is an amenable number.

985403655625 is a deficient number, since it is larger than the sum of its proper divisors (269044966538).

985403655625 is an frugal number, since it uses more digits than its factorization.

985403655625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 58.

The spelling of 985403655625 in words is "nine hundred eighty-five billion, four hundred three million, six hundred fifty-five thousand, six hundred twenty-five".