10131429025 has 27 divisors (see below), whose sum is σ = 12903138649. Its totient is φ = 7891352000.

The previous prime is 10131429017. The next prime is 10131429101. The reversal of 10131429025 is 52092413101.

The square root of 10131429025 is 100655.

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

10131429025 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 4 ways, for example, as 4264481809 + 5866947216 = 65303^2 + 76596^2 .

It is not a de Polignac number, because 10131429025 - 2³ = 10131429017 is a prime.

It is a super-2 number, since 2×10131429025² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10131428984 and 10131429002.

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 26 ways as a sum of consecutive naturals, for example, 20634030 + ... + 20634520.

Almost surely, 2^10131429025 is an apocalyptic number.

10131429025 is the 100655-th square number.

10131429025 is the 50328-th centered octagonal number.

It is an amenable number.

10131429025 is a deficient number, since it is larger than the sum of its proper divisors (2771709624).

10131429025 is an frugal number, since it uses more digits than its factorization.

10131429025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 10131429025 in words is "ten billion, one hundred thirty-one million, four hundred twenty-nine thousand, twenty-five".