10145253625 has 64 divisors (see below), whose sum is σ = 14524211520. Its totient is φ = 7008768000.

The previous prime is 10145253617. The next prime is 10145253637. The reversal of 10145253625 is 52635254101.

10145253625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 9946471824 + 198781801 = 99732^2 + 14099^2 .

It is not a de Polignac number, because 10145253625 - 2³ = 10145253617 is a prime.

It is a super-2 number, since 2×10145253625² (a number of 21 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 63 ways as a sum of consecutive naturals, for example, 4999111 + ... + 5001139.

It is an arithmetic number, because the mean of its divisors is an integer number (226940805).

Almost surely, 2^10145253625 is an apocalyptic number.

It is an amenable number.

10145253625 is a deficient number, since it is larger than the sum of its proper divisors (4378957895).

10145253625 is a wasteful number, since it uses less digits than its factorization.

10145253625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

It can be divided in two parts, 10145 and 253625, that multiplied together give a square (2573025625 = 50725²).

The spelling of 10145253625 in words is "ten billion, one hundred forty-five million, two hundred fifty-three thousand, six hundred twenty-five".