129019270582225 has 81 divisors (see below), whose sum is σ = 171296520333393. Its totient is φ = 96389812928640.

The previous prime is 129019270582219. The next prime is 129019270582231. The reversal of 129019270582225 is 522285072910921.

The square root of 129019270582225 is 11358665.

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 (129019270582219) and next prime (129019270582231).

It can be written as a sum of positive squares in 4 ways, for example, as 3769061139649 + 125250209442576 = 1941407^2 + 11191524^2 .

It is not a de Polignac number, because 129019270582225 - 2³ = 129019270582217 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, 56168597277 + ... + 56168599573.

Almost surely, 2^{129019270582225} is an apocalyptic number.

129019270582225 is the 11358665-th square number.

129019270582225 is the 5679333-rd centered octagonal number.

It is an amenable number.

129019270582225 is a deficient number, since it is larger than the sum of its proper divisors (42277249751168).

129019270582225 is an frugal number, since it uses more digits than its factorization.

129019270582225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4736 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 55.

The spelling of 129019270582225 in words is "one hundred twenty-nine trillion, nineteen billion, two hundred seventy million, five hundred eighty-two thousand, two hundred twenty-five".