13652322959025 has 135 divisors (see below), whose sum is σ = 25853128138299. Its totient is φ = 7122239759520.

The previous prime is 13652322958997. The next prime is 13652322959063. The reversal of 13652322959025 is 52095922325631.

The square root of 13652322959025 is 3694905.

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

13652322959025 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 2 + 3 + 2 + 29 + 590 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4914836265249 + 8737486693776 = 2216943^2 + 2955924^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 13652322959025 - 2³⁹ = 13102567145137 is a prime.

It is a super-2 number, since 2×13652322959025² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7814723202 + ... + 7814724948.

Almost surely, 2^{13652322959025} is an apocalyptic number.

13652322959025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13652322959025 is the 3694905-th square number.

13652322959025 is the 1847453-rd centered octagonal number.

It is an amenable number.

13652322959025 is a deficient number, since it is larger than the sum of its proper divisors (12200805179274).

13652322959025 is an frugal number, since it uses more digits than its factorization.

13652322959025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 13652322959025 in words is "thirteen trillion, six hundred fifty-two billion, three hundred twenty-two million, nine hundred fifty-nine thousand, twenty-five".