30777439225 has 27 divisors (see below), whose sum is σ = 41340858573. Its totient is φ = 22719534240.

The previous prime is 30777439223. The next prime is 30777439289. The reversal of 30777439225 is 52293477703.

The square root of 30777439225 is 175435.

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 7932930489 + 22844508736 = 89067^2 + 151144^2 .

It is not a de Polignac number, because 30777439225 - 2¹ = 30777439223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30777439223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11401926 + ... + 11404624.

Almost surely, 2^30777439225 is an apocalyptic number.

30777439225 is the 175435-th square number.

30777439225 is the 87718-th centered octagonal number.

It is an amenable number.

30777439225 is a deficient number, since it is larger than the sum of its proper divisors (10563419348).

30777439225 is an frugal number, since it uses more digits than its factorization.

30777439225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5434 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 49.

Multiplying 30777439225 by its sum of digits (49), we get a square (1508094522025 = 1228045²).

The spelling of 30777439225 in words is "thirty billion, seven hundred seventy-seven million, four hundred thirty-nine thousand, two hundred twenty-five".