985006625625 has 225 divisors, whose sum is σ = 2026101345499. Its totient is φ = 476388000000.

The previous prime is 985006625593. The next prime is 985006625663. The reversal of 985006625625 is 526526600589.

The square root of 985006625625 is 992475.

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

985006625625 is a `hidden beast` number, since 9 + 8 + 5 + 0 + 0 + 6 + 6 + 2 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 138047173209 + 846959452416 = 371547^2 + 920304^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 985006625625 - 2⁵ = 985006625593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 2456375425 + ... + 2456375825.

Almost surely, 2^985006625625 is an apocalyptic number.

985006625625 is the 992475-th square number.

985006625625 is the 496238-th centered octagonal number.

It is an amenable number.

985006625625 is an abundant number, since it is smaller than the sum of its proper divisors (1041094719874).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

985006625625 is an frugal number, since it uses more digits than its factorization.

985006625625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 985006625625 in words is "nine hundred eighty-five billion, six million, six hundred twenty-five thousand, six hundred twenty-five".