30730891167025 has 81 divisors (see below), whose sum is σ = 44669262736161. Its totient is φ = 20911493494080.

The previous prime is 30730891167017. The next prime is 30730891167029. The reversal of 30730891167025 is 52076119803703.

The square root of 30730891167025 is 5543545.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9171733509169 + 21559157657856 = 3028487^2 + 4643184^2 .

It is not a de Polignac number, because 30730891167025 - 2³ = 30730891167017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30730891167029) 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, 28909586644 + ... + 28909587706.

Almost surely, 2^{30730891167025} is an apocalyptic number.

30730891167025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30730891167025 is the 5543545-th square number.

30730891167025 is the 2771773-rd centered octagonal number.

It is an amenable number.

30730891167025 is a deficient number, since it is larger than the sum of its proper divisors (13938371569136).

30730891167025 is an frugal number, since it uses more digits than its factorization.

30730891167025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The spelling of 30730891167025 in words is "thirty trillion, seven hundred thirty billion, eight hundred ninety-one million, one hundred sixty-seven thousand, twenty-five".