29010605625 has 75 divisors (see below), whose sum is σ = 54225335307. Its totient is φ = 15451884000.

The previous prime is 29010605623. The next prime is 29010605641. The reversal of 29010605625 is 52650601092.

The square root of 29010605625 is 170325.

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

29010605625 is a `hidden beast` number, since 2 + 90 + 1 + 0 + 6 + 0 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 19202476329 + 9808129296 = 138573^2 + 99036^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 29010605625 - 2¹ = 29010605623 is a prime.

It is a super-3 number, since 3×29010605625³ (a number of 32 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 29010605625.

It is not an unprimeable number, because it can be changed into a prime (29010605623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 38322747 + ... + 38323503.

Almost surely, 2^29010605625 is an apocalyptic number.

29010605625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29010605625 is the 170325-th square number.

29010605625 is the 85163-rd centered octagonal number.

It is an amenable number.

29010605625 is a deficient number, since it is larger than the sum of its proper divisors (25214729682).

29010605625 is an frugal number, since it uses more digits than its factorization.

29010605625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Multiplying 29010605625 by its sum of digits (36), we get a square (1044381802500 = 1021950²).

Multiplying 29010605625 by its product of nonzero digits (32400), we get a square (939943622250000 = 30658500²).

The spelling of 29010605625 in words is "twenty-nine billion, ten million, six hundred five thousand, six hundred twenty-five".