10008902779225 has 135 divisors (see below), whose sum is σ = 14923336327767. Its totient is φ = 6658620474240.

The previous prime is 10008902779217. The next prime is 10008902779229. The reversal of 10008902779225 is 52297720980001.

It is a happy number.

The square root of 10008902779225 is 3163685.

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 514394487369 + 9494508291856 = 717213^2 + 3081316^2 .

It is not a de Polignac number, because 10008902779225 - 2³ = 10008902779217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10008902779229) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 28678804351 + ... + 28678804699.

Almost surely, 2^{10008902779225} is an apocalyptic number.

10008902779225 is the 3163685-th square number.

10008902779225 is the 1581843-rd centered octagonal number.

It is an amenable number.

10008902779225 is a deficient number, since it is larger than the sum of its proper divisors (4914433548542).

10008902779225 is an frugal number, since it uses more digits than its factorization.

10008902779225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 52.

The spelling of 10008902779225 in words is "ten trillion, eight billion, nine hundred two million, seven hundred seventy-nine thousand, two hundred twenty-five".