10625113301265 has 48 divisors (see below), whose sum is σ = 19052370838800. Its totient is φ = 5471195337216.

The previous prime is 10625113301251. The next prime is 10625113301321. The reversal of 10625113301265 is 56210331152601.

10625113301265 is a `hidden beast` number, since 1 + 0 + 6 + 251 + 1 + 330 + 12 + 65 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 148187272401 + 10476926028864 = 384951^2 + 3236808^2 .

It is not a de Polignac number, because 10625113301265 - 2⁵ = 10625113301233 is a prime.

It is a super-2 number, since 2×10625113301265² (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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85792767 + ... + 85916523.

It is an arithmetic number, because the mean of its divisors is an integer number (396924392475).

Almost surely, 2^{10625113301265} is an apocalyptic number.

10625113301265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10625113301265 is a deficient number, since it is larger than the sum of its proper divisors (8427257537535).

10625113301265 is a wasteful number, since it uses less digits than its factorization.

10625113301265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189586 (or 189583 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 10625113301265 its reverse (56210331152601), we get a palindrome (66835444453866).

The spelling of 10625113301265 in words is "ten trillion, six hundred twenty-five billion, one hundred thirteen million, three hundred one thousand, two hundred sixty-five".