30031222005625 has 135 divisors (see below), whose sum is σ = 40379489812233. Its totient is φ = 22324510332000.

The previous prime is 30031222005583. The next prime is 30031222005661. The reversal of 30031222005625 is 52650022213003.

The square root of 30031222005625 is 5480075.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2354447805241 + 27676774200384 = 1534421^2 + 5260872^2 .

It is not a de Polignac number, because 30031222005625 - 2³⁷ = 29893783052153 is a prime.

It is a super-2 number, since 2×30031222005625² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 216051956806 + ... + 216051956944.

Almost surely, 2^{30031222005625} is an apocalyptic number.

30031222005625 is the 5480075-th square number.

30031222005625 is the 2740038-th centered octagonal number.

It is an amenable number.

30031222005625 is a deficient number, since it is larger than the sum of its proper divisors (10348267806608).

30031222005625 is an frugal number, since it uses more digits than its factorization.

30031222005625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 30031222005625 its reverse (52650022213003), we get a palindrome (82681244218628).

The spelling of 30031222005625 in words is "thirty trillion, thirty-one billion, two hundred twenty-two million, five thousand, six hundred twenty-five".