102813216025 has 27 divisors (see below), whose sum is σ = 138077546679. Its totient is φ = 75908214720.

The previous prime is 102813216017. The next prime is 102813216049. The reversal of 102813216025 is 520612318201.

The square root of 102813216025 is 320645.

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 102442884489 + 370331536 = 320067^2 + 19244^2 .

It is not a de Polignac number, because 102813216025 - 2³ = 102813216017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20839459 + ... + 20844391.

Almost surely, 2^102813216025 is an apocalyptic number.

102813216025 is the 320645-th square number.

102813216025 is the 160323-rd centered octagonal number.

It is an amenable number.

102813216025 is a deficient number, since it is larger than the sum of its proper divisors (35264330654).

102813216025 is an frugal number, since it uses more digits than its factorization.

102813216025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9902 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 102813216025 in words is "one hundred two billion, eight hundred thirteen million, two hundred sixteen thousand, twenty-five".