29661289761025 has 24 divisors (see below), whose sum is σ = 39609538186680. Its totient is φ = 21903551255040.

The previous prime is 29661289760987. The next prime is 29661289761083. The reversal of 29661289761025 is 52016798216692.

It can be written as a sum of positive squares in 12 ways, for example, as 17083003319281 + 12578286441744 = 4133159^2 + 3546588^2 .

It is not a de Polignac number, because 29661289761025 - 2²⁷ = 29661155543297 is a prime.

It is a super-2 number, since 2×29661289761025² (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 23 ways as a sum of consecutive naturals, for example, 54502461 + ... + 55043989.

It is an arithmetic number, because the mean of its divisors is an integer number (1650397424445).

Almost surely, 2^{29661289761025} is an apocalyptic number.

29661289761025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

29661289761025 is a deficient number, since it is larger than the sum of its proper divisors (9948248425655).

29661289761025 is a wasteful number, since it uses less digits than its factorization.

29661289761025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710085 (or 710080 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 64.

The spelling of 29661289761025 in words is "twenty-nine trillion, six hundred sixty-one billion, two hundred eighty-nine million, seven hundred sixty-one thousand, twenty-five".