30840628225 has 81 divisors (see below), whose sum is σ = 43860511107. Its totient is φ = 21495276000.

The previous prime is 30840628223. The next prime is 30840628249. The reversal of 30840628225 is 52282604803.

It is a happy number.

The square root of 30840628225 is 175615.

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

It can be written as a sum of positive squares in only one way, i.e., 11102626161 + 19738002064 = 105369^2 + 140492^2 .

It is not a de Polignac number, because 30840628225 - 2¹ = 30840628223 is a prime.

It is a super-2 number, since 2×30840628225² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30840628223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 299423524 + ... + 299423626.

Almost surely, 2^30840628225 is an apocalyptic number.

30840628225 is the 175615-th square number.

30840628225 is the 87808-th centered octagonal number.

It is an amenable number.

30840628225 is a deficient number, since it is larger than the sum of its proper divisors (13019882882).

30840628225 is a wasteful number, since it uses less digits than its factorization.

30840628225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 30840628225 in words is "thirty billion, eight hundred forty million, six hundred twenty-eight thousand, two hundred twenty-five".