10071126025 has 9 divisors (see below), whose sum is σ = 12488818503. Its totient is φ = 8056499400.

The previous prime is 10071126007. The next prime is 10071126029. The reversal of 10071126025 is 52062117001.

The square root of 10071126025 is 100355.

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

It can be written as a sum of positive squares in only one way, i.e., 3625605369 + 6445520656 = 60213^2 + 80284^2 .

It is not a de Polignac number, because 10071126025 - 2⁹ = 10071125513 is a prime.

It is a super-2 number, since 2×10071126025² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10071126029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 491740 + ... + 511810.

Almost surely, 2^10071126025 is an apocalyptic number.

10071126025 is the 100355-th square number.

10071126025 is the 50178-th centered octagonal number.

It is an amenable number.

10071126025 is a deficient number, since it is larger than the sum of its proper divisors (2417692478).

10071126025 is an frugal number, since it uses more digits than its factorization.

10071126025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40152 (or 20076 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

Multiplying 10071126025 by its sum of digits (25), we get a square (251778150625 = 501775²).

10071126025 divided by its sum of digits (25) gives a square (402845041 = 20071²).

It can be divided in two parts, 100711 and 26025, that added together give a square (126736 = 356²).

The spelling of 10071126025 in words is "ten billion, seventy-one million, one hundred twenty-six thousand, twenty-five".