29784469975225 has 81 divisors (see below), whose sum is σ = 43225649410671. Its totient is φ = 20299336192800.

The previous prime is 29784469975219. The next prime is 29784469975231. The reversal of 29784469975225 is 52257996448792.

The square root of 29784469975225 is 5457515.

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 (29784469975219) and next prime (29784469975231).

It can be written as a sum of positive squares in only one way, i.e., 10722409191081 + 19062060784144 = 3274509^2 + 4366012^2 .

It is not a de Polignac number, because 29784469975225 - 2¹³ = 29784469967033 is a prime.

It is a super-2 number, since 2×29784469975225² (a number of 28 digits) contains 22 as substring.

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, 40303747906 + ... + 40303748644.

Almost surely, 2^{29784469975225} is an apocalyptic number.

29784469975225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29784469975225 is the 5457515-th square number.

29784469975225 is the 2728758-th centered octagonal number.

It is an amenable number.

29784469975225 is a deficient number, since it is larger than the sum of its proper divisors (13441179435446).

29784469975225 is an frugal number, since it uses more digits than its factorization.

29784469975225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 962 counting only the distinct ones).

The product of its digits is 5486745600, while the sum is 79.

The spelling of 29784469975225 in words is "twenty-nine trillion, seven hundred eighty-four billion, four hundred sixty-nine million, nine hundred seventy-five thousand, two hundred twenty-five".