10535996025 has 45 divisors (see below), whose sum is σ = 19524866493. Its totient is φ = 5616734400.

The previous prime is 10535996017. The next prime is 10535996059. The reversal of 10535996025 is 52069953501.

The square root of 10535996025 is 102645.

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

10535996025 is a `hidden beast` number, since 1 + 0 + 5 + 35 + 9 + 9 + 602 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16621929 + 10519374096 = 4077^2 + 102564^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 10535996025 - 2³ = 10535996017 is a prime.

It is a super-2 number, since 2×10535996025² (a number of 21 digits) contains 22 as substring.

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

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, 4617885 + ... + 4620165.

Almost surely, 2^10535996025 is an apocalyptic number.

10535996025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10535996025 is the 102645-th square number.

10535996025 is the 51323-rd centered octagonal number.

It is an amenable number.

10535996025 is a deficient number, since it is larger than the sum of its proper divisors (8988870468).

10535996025 is an frugal number, since it uses more digits than its factorization.

10535996025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584 (or 2289 counting only the distinct ones).

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

The spelling of 10535996025 in words is "ten billion, five hundred thirty-five million, nine hundred ninety-six thousand, twenty-five".