9628925508601 has 9 divisors (see below), whose sum is σ = 11201020247151. Its totient is φ = 8253346103352.

The previous prime is 9628925508599. The next prime is 9628925508619. The reversal of 9628925508601 is 1068055298269.

The square root of 9628925508601 is 3103051.

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., 1739141125225 + 7889784383376 = 1318765^2 + 2808876^2 .

It is not a de Polignac number, because 9628925508601 - 2¹ = 9628925508599 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9628925508601.

It is not an unprimeable number, because it can be changed into a prime (9628925509601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21499711 + ... + 21943003.

It is an arithmetic number, because the mean of its divisors is an integer number (1244557805239).

Almost surely, 2^{9628925508601} is an apocalyptic number.

9628925508601 is the 3103051-st square number.

9628925508601 is the 1551526-th centered octagonal number.

It is an amenable number.

9628925508601 is a deficient number, since it is larger than the sum of its proper divisors (1572094738550).

9628925508601 is an frugal number, since it uses more digits than its factorization.

9628925508601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886600 (or 443300 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 61.

The spelling of 9628925508601 in words is "nine trillion, six hundred twenty-eight billion, nine hundred twenty-five million, five hundred eight thousand, six hundred one".