10652031425025 has 81 divisors (see below), whose sum is σ = 20268865134921. Its totient is φ = 5346484289280.

The previous prime is 10652031424927. The next prime is 10652031425039. The reversal of 10652031425025 is 52052413025601.

The square root of 10652031425025 is 3263745.

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

10652031425025 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 2 + 0 + 3 + 142 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 249161703921 + 10402869721104 = 499161^2 + 3225348^2 .

It is not a de Polignac number, because 10652031425025 - 2¹⁵ = 10652031392257 is a prime.

It is a super-2 number, since 2×10652031425025² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 832248576 + ... + 832261374.

Almost surely, 2^{10652031425025} is an apocalyptic number.

10652031425025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10652031425025 is the 3263745-th square number.

10652031425025 is the 1631873-rd centered octagonal number.

It is an amenable number.

10652031425025 is a deficient number, since it is larger than the sum of its proper divisors (9616833709896).

10652031425025 is an frugal number, since it uses more digits than its factorization.

10652031425025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25648 (or 12824 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Multiplying 10652031425025 by its sum of digits (36), we get a square (383473131300900 = 19582470²).

The spelling of 10652031425025 in words is "ten trillion, six hundred fifty-two billion, thirty-one million, four hundred twenty-five thousand, twenty-five".