29240658001 has 9 divisors (see below), whose sum is σ = 29388977499. Its totient is φ = 29093085864.

The previous prime is 29240657959. The next prime is 29240658049. The reversal of 29240658001 is 10085604292.

The square root of 29240658001 is 170999.

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

It can be written as a sum of positive squares in only one way, i.e., 2565929025 + 26674728976 = 50655^2 + 163324^2 .

It is not a de Polignac number, because 29240658001 - 2²³ = 29232269393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29240658091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52496415 + ... + 52496971.

Almost surely, 2^29240658001 is an apocalyptic number.

29240658001 is the 170999-th square number.

29240658001 is the 85500-th centered octagonal number.

It is an amenable number.

29240658001 is a deficient number, since it is larger than the sum of its proper divisors (148319498).

29240658001 is an frugal number, since it uses more digits than its factorization.

29240658001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

It can be divided in two parts, 29240 and 658001, that added together give a square (687241 = 829²).

The spelling of 29240658001 in words is "twenty-nine billion, two hundred forty million, six hundred fifty-eight thousand, one".