34825158225 has 405 divisors, whose sum is σ = 79518458019. Its totient is φ = 15048633600.

The previous prime is 34825158187. The next prime is 34825158229. The reversal of 34825158225 is 52285152843.

The square root of 34825158225 is 186615.

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

34825158225 is a `hidden beast` number, since 3 + 48 + 2 + 5 + 1 + 582 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 32215583169 + 2609575056 = 179487^2 + 51084^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a de Polignac number, because none of the positive numbers 2^k-34825158225 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (768000) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (34825158229) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1200867511 + ... + 1200867539.

Almost surely, 2^34825158225 is an apocalyptic number.

34825158225 is the 186615-th square number.

34825158225 is the 93308-th centered octagonal number.

It is an amenable number.

34825158225 is an abundant number, since it is smaller than the sum of its proper divisors (44693299794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34825158225 is a wasteful number, since it uses less digits than its factorization.

34825158225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 61 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The spelling of 34825158225 in words is "thirty-four billion, eight hundred twenty-five million, one hundred fifty-eight thousand, two hundred twenty-five".