10225523521540 has 48 divisors (see below), whose sum is σ = 23109485991984. Its totient is φ = 3786500505600.

The previous prime is 10225523521513. The next prime is 10225523521541. The reversal of 10225523521540 is 4512532552201.

It can be written as a sum of positive squares in 8 ways, for example, as 1666903059396 + 8558620462144 = 1291086^2 + 2925512^2 .

It is a super-2 number, since 2×10225523521540² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10225523521540.

It is not an unprimeable number, because it can be changed into a prime (10225523521541) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 246496221 + ... + 246537700.

It is an arithmetic number, because the mean of its divisors is an integer number (481447624833).

Almost surely, 2^{10225523521540} is an apocalyptic number.

10225523521540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10225523521540 is an abundant number, since it is smaller than the sum of its proper divisors (12883962470444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10225523521540 is a wasteful number, since it uses less digits than its factorization.

10225523521540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493034008 (or 493034006 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 37.

The spelling of 10225523521540 in words is "ten trillion, two hundred twenty-five billion, five hundred twenty-three million, five hundred twenty-one thousand, five hundred forty".