10023271062025 has 81 divisors (see below), whose sum is σ = 13732132460319. Its totient is φ = 7254241338240.

The previous prime is 10023271061983. The next prime is 10023271062029. The reversal of 10023271062025 is 52026017232001.

The square root of 10023271062025 is 3165955.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7871991769849 + 2151279292176 = 2805707^2 + 1466724^2 .

It is not a de Polignac number, because 10023271062025 - 2¹³ = 10023271053833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10023271062029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10906714516 + ... + 10906715434.

Almost surely, 2^{10023271062025} is an apocalyptic number.

10023271062025 is the 3165955-th square number.

10023271062025 is the 1582978-th centered octagonal number.

It is an amenable number.

10023271062025 is a deficient number, since it is larger than the sum of its proper divisors (3708861398294).

10023271062025 is an frugal number, since it uses more digits than its factorization.

10023271062025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

Adding to 10023271062025 its reverse (52026017232001), we get a palindrome (62049288294026).

The spelling of 10023271062025 in words is "ten trillion, twenty-three billion, two hundred seventy-one million, sixty-two thousand, twenty-five".