29979191025 has 243 divisors, whose sum is σ = 67044286179. Its totient is φ = 12765634560.

The previous prime is 29979190847. The next prime is 29979191029. The reversal of 29979191025 is 52019197992.

The square root of 29979191025 is 173145.

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

It can be written as a sum of positive squares in 13 ways, for example, as 11938403169 + 18040787856 = 109263^2 + 134316^2 .

It is not a de Polignac number, because 29979191025 - 2⁹ = 29979190513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (29979191029) 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, 309063777 + ... + 309063873.

Almost surely, 2^29979191025 is an apocalyptic number.

29979191025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29979191025 is the 173145-th square number.

29979191025 is the 86573-rd centered octagonal number.

It is an amenable number.

29979191025 is an abundant number, since it is smaller than the sum of its proper divisors (37065095154).

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

29979191025 is a wasteful number, since it uses less digits than its factorization.

29979191025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 54.

The spelling of 29979191025 in words is "twenty-nine billion, nine hundred seventy-nine million, one hundred ninety-one thousand, twenty-five".