10752653025 has 81 divisors (see below), whose sum is σ = 19990141587. Its totient is φ = 5524869600.

The previous prime is 10752652979. The next prime is 10752653029. The reversal of 10752653025 is 52035625701.

The square root of 10752653025 is 103695.

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

10752653025 is a `hidden beast` number, since 10 + 75 + 26 + 530 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3870955089 + 6881697936 = 62217^2 + 82956^2 .

It is not a de Polignac number, because 10752653025 - 2¹⁵ = 10752620257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10752653029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 48218064 + ... + 48218286.

Almost surely, 2^10752653025 is an apocalyptic number.

10752653025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10752653025 is the 103695-th square number.

10752653025 is the 51848-th centered octagonal number.

It is an amenable number.

10752653025 is a deficient number, since it is larger than the sum of its proper divisors (9237488562).

10752653025 is an equidigital number, since it uses as much as digits as its factorization.

10752653025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

Multiplying 10752653025 by its sum of digits (36), we get a square (387095508900 = 622170²).

The spelling of 10752653025 in words is "ten billion, seven hundred fifty-two million, six hundred fifty-three thousand, twenty-five".