10225523521521 has 48 divisors (see below), whose sum is σ = 18415304089728. Its totient is φ = 5311813593600.

The previous prime is 10225523521513. The next prime is 10225523521541. The reversal of 10225523521521 is 12512532552201.

10225523521521 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 552 + 3 + 52 + 1 + 52 + 1 = 666.

It is not a de Polignac number, because 10225523521521 - 2³ = 10225523521513 is a prime.

It is a super-2 number, since 2×10225523521521² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10225523521501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27659031 + ... + 28026291.

It is an arithmetic number, because the mean of its divisors is an integer number (383652168536).

Almost surely, 2^{10225523521521} is an apocalyptic number.

10225523521521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10225523521521 is a deficient number, since it is larger than the sum of its proper divisors (8189780568207).

10225523521521 is a wasteful number, since it uses less digits than its factorization.

10225523521521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407462 (or 407459 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 10225523521521 in words is "ten trillion, two hundred twenty-five billion, five hundred twenty-three million, five hundred twenty-one thousand, five hundred twenty-one".