802215792225 has 135 divisors (see below), whose sum is σ = 1509429299599. Its totient is φ = 407276788800.

The previous prime is 802215792223. The next prime is 802215792227. The reversal of 802215792225 is 522297512208.

The square root of 802215792225 is 895665.

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

It is an interprime number because it is at equal distance from previous prime (802215792223) and next prime (802215792227).

It can be written as a sum of positive squares in 7 ways, for example, as 475384049361 + 326831742864 = 689481^2 + 571692^2 .

It is not a de Polignac number, because 802215792225 - 2¹ = 802215792223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (802215792223) 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, 11298813940 + ... + 11298814010.

Almost surely, 2^802215792225 is an apocalyptic number.

802215792225 is the 895665-th square number.

802215792225 is the 447833-rd centered octagonal number.

It is an amenable number.

802215792225 is a deficient number, since it is larger than the sum of its proper divisors (707213507374).

802215792225 is an frugal number, since it uses more digits than its factorization.

802215792225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 802215792225 in words is "eight hundred two billion, two hundred fifteen million, seven hundred ninety-two thousand, two hundred twenty-five".