9025524071001 has 27 divisors (see below), whose sum is σ = 13097041236669. Its totient is φ = 5989370929632.

The previous prime is 9025524070991. The next prime is 9025524071023. The reversal of 9025524071001 is 1001704255209.

The square root of 9025524071001 is 3004251.

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

9025524071001 is a `hidden beast` number, since 9 + 0 + 25 + 524 + 0 + 7 + 100 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2837489715225 + 6188034355776 = 1684485^2 + 2487576^2 .

It is not a de Polignac number, because 9025524071001 - 2²⁷ = 9025389853273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9025524071401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2063918251 + ... + 2063922623.

Almost surely, 2^{9025524071001} is an apocalyptic number.

9025524071001 is the 3004251-st square number.

9025524071001 is the 1502126-th centered octagonal number.

It is an amenable number.

9025524071001 is a deficient number, since it is larger than the sum of its proper divisors (4071517165668).

9025524071001 is an frugal number, since it uses more digits than its factorization.

9025524071001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9210 (or 4605 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Multiplying 9025524071001 by its sum of digits (36), we get a square (324918866556036 = 18025506²).

The spelling of 9025524071001 in words is "nine trillion, twenty-five billion, five hundred twenty-four million, seventy-one thousand, one".