9935105625 has 75 divisors (see below), whose sum is σ = 18587685193. Its totient is φ = 5286762000.

The previous prime is 9935105623. The next prime is 9935105627. The reversal of 9935105625 is 5265015399.

The square root of 9935105625 is 99675.

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

9935105625 is a `hidden beast` number, since 9 + 9 + 3 + 5 + 10 + 5 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (9935105623) and next prime (9935105627).

It can be written as a sum of positive squares in 2 ways, for example, as 778912281 + 9156193344 = 27909^2 + 95688^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 9935105625 - 2¹ = 9935105623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9935105623) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 22426654 + ... + 22427096.

Almost surely, 2^9935105625 is an apocalyptic number.

9935105625 is the 99675-th square number.

9935105625 is the 49838-th centered octagonal number.

It is an amenable number.

9935105625 is a deficient number, since it is larger than the sum of its proper divisors (8652579568).

9935105625 is an frugal number, since it uses more digits than its factorization.

9935105625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The cubic root of 9935105625 is about 2149.7642160758.

The spelling of 9935105625 in words is "nine billion, nine hundred thirty-five million, one hundred five thousand, six hundred twenty-five".