29561567073025 has 81 divisors (see below), whose sum is σ = 39975401754939. Its totient is φ = 21675841923840.

The previous prime is 29561567073011. The next prime is 29561567073053. The reversal of 29561567073025 is 52037076516592.

The square root of 29561567073025 is 5437055.

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

It can be written as a sum of positive squares in 13 ways, for example, as 29436777271489 + 124789801536 = 5425567^2 + 353256^2 .

It is not a de Polignac number, because 29561567073025 - 2⁷ = 29561567072897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 82344197796 + ... + 82344198154.

Almost surely, 2^{29561567073025} is an apocalyptic number.

29561567073025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29561567073025 is the 5437055-th square number.

29561567073025 is the 2718528-th centered octagonal number.

It is an amenable number.

29561567073025 is a deficient number, since it is larger than the sum of its proper divisors (10413834681914).

29561567073025 is an frugal number, since it uses more digits than its factorization.

29561567073025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 23814000, while the sum is 58.

The spelling of 29561567073025 in words is "twenty-nine trillion, five hundred sixty-one billion, five hundred sixty-seven million, seventy-three thousand, twenty-five".