29218774225 has 27 divisors (see below), whose sum is σ = 38507047761. Its totient is φ = 21989078400.

The previous prime is 29218774183. The next prime is 29218774267. The reversal of 29218774225 is 52247781292.

It is a happy number.

The square root of 29218774225 is 170935.

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 (29218774183) and next prime (29218774267).

It can be written as a sum of positive squares in 4 ways, for example, as 683456449 + 28535317776 = 26143^2 + 168924^2 .

It is not a de Polignac number, because 29218774225 - 2¹³ = 29218766033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14528470 + ... + 14530480.

Almost surely, 2^29218774225 is an apocalyptic number.

29218774225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29218774225 is the 170935-th square number.

29218774225 is the 85468-th centered octagonal number.

It is an amenable number.

29218774225 is a deficient number, since it is larger than the sum of its proper divisors (9288273536).

29218774225 is an frugal number, since it uses more digits than its factorization.

29218774225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 2033 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 49.

Multiplying 29218774225 by its sum of digits (49), we get a square (1431719937025 = 1196545²).

The spelling of 29218774225 in words is "twenty-nine billion, two hundred eighteen million, seven hundred seventy-four thousand, two hundred twenty-five".