29739407958225 has 243 divisors, whose sum is σ = 62537511071451. Its totient is φ = 13470297220800.

The previous prime is 29739407958217. The next prime is 29739407958229. The reversal of 29739407958225 is 52285970493792.

The square root of 29739407958225 is 5453385.

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

29739407958225 is a `hidden beast` number, since 2 + 9 + 7 + 39 + 4 + 0 + 7 + 9 + 582 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10706186864961 + 19033221093264 = 3272031^2 + 4362708^2 .

It is not a de Polignac number, because 29739407958225 - 2³ = 29739407958217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29739407958229) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 95625105820 + ... + 95625106130.

Almost surely, 2^{29739407958225} is an apocalyptic number.

29739407958225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29739407958225 is the 5453385-th square number.

29739407958225 is the 2726693-rd centered octagonal number.

It is an amenable number.

29739407958225 is an abundant number, since it is smaller than the sum of its proper divisors (32798103113226).

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

29739407958225 is an equidigital number, since it uses as much as digits as its factorization.

29739407958225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 29739407958225 in words is "twenty-nine trillion, seven hundred thirty-nine billion, four hundred seven million, nine hundred fifty-eight thousand, two hundred twenty-five".