1829529465201 has 45 divisors (see below), whose sum is σ = 2755607275729. Its totient is φ = 1209679767936.

The previous prime is 1829529465161. The next prime is 1829529465271. The reversal of 1829529465201 is 1025649259281.

The square root of 1829529465201 is 1352601.

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

1829529465201 is a `hidden beast` number, since 1 + 8 + 2 + 95 + 29 + 4 + 6 + 520 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33178986801 + 1796350478400 = 182151^2 + 1340280^2 .

It is not a de Polignac number, because 1829529465201 - 2⁹ = 1829529464689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1829529465271) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1667756485 + ... + 1667757581.

Almost surely, 2^{1829529465201} is an apocalyptic number.

1829529465201 is the 1352601-st square number.

1829529465201 is the 676301-st centered octagonal number.

It is an amenable number.

1829529465201 is a deficient number, since it is larger than the sum of its proper divisors (926077810528).

1829529465201 is an frugal number, since it uses more digits than its factorization.

1829529465201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1829529465201 in words is "one trillion, eight hundred twenty-nine billion, five hundred twenty-nine million, four hundred sixty-five thousand, two hundred one".