10523126625 has 128 divisors (see below), whose sum is σ = 20037169152. Its totient is φ = 4858560000.

The previous prime is 10523126563. The next prime is 10523126629. The reversal of 10523126625 is 52662132501.

10523126625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10523126625 - 2⁹ = 10523126113 is a prime.

It is a super-2 number, since 2×10523126625² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10523126629) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 7271652 + ... + 7273098.

It is an arithmetic number, because the mean of its divisors is an integer number (156540384).

Almost surely, 2^10523126625 is an apocalyptic number.

10523126625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10523126625 is a deficient number, since it is larger than the sum of its proper divisors (9514042527).

10523126625 is a wasteful number, since it uses less digits than its factorization.

10523126625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 10523126625 in words is "ten billion, five hundred twenty-three million, one hundred twenty-six thousand, six hundred twenty-five".