29283765625 has 35 divisors (see below), whose sum is σ = 37621022351. Its totient is φ = 22793850000.

The previous prime is 29283765607. The next prime is 29283765677. The reversal of 29283765625 is 52656738292.

The square root of 29283765625 is 171125.

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

It can be written as a sum of positive squares in 17 ways, for example, as 26711652969 + 2572112656 = 163437^2 + 50716^2 .

It is not a de Polignac number, because 29283765625 - 2⁵ = 29283765593 is a prime.

It is a Duffinian number.

Its product of digits (10886400) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 791453107 + ... + 791453143.

Almost surely, 2^29283765625 is an apocalyptic number.

29283765625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29283765625 is the 171125-th square number.

29283765625 is the 85563-rd centered octagonal number.

It is an amenable number.

29283765625 is a deficient number, since it is larger than the sum of its proper divisors (8337256726).

29283765625 is an frugal number, since it uses more digits than its factorization.

29283765625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 42 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 55.

The spelling of 29283765625 in words is "twenty-nine billion, two hundred eighty-three million, seven hundred sixty-five thousand, six hundred twenty-five".