83032151409 has 45 divisors (see below), whose sum is σ = 125672357041. Its totient is φ = 54633808800.

The previous prime is 83032151381. The next prime is 83032151429. The reversal of 83032151409 is 90415123038.

The square root of 83032151409 is 288153.

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

83032151409 is a `hidden beast` number, since 8 + 30 + 3 + 215 + 1 + 409 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 129618225 + 82902533184 = 11385^2 + 287928^2 .

It is not a de Polignac number, because 83032151409 - 2⁹ = 83032150897 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83032151429) 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 44 ways as a sum of consecutive naturals, for example, 261930919 + ... + 261931235.

Almost surely, 2^83032151409 is an apocalyptic number.

83032151409 is the 288153-rd square number.

83032151409 is the 144077-th centered octagonal number.

It is an amenable number.

83032151409 is a deficient number, since it is larger than the sum of its proper divisors (42640205632).

83032151409 is an frugal number, since it uses more digits than its factorization.

83032151409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 83032151409 by its sum of digits (36), we get a square (2989157450724 = 1728918²).

The spelling of 83032151409 in words is "eighty-three billion, thirty-two million, one hundred fifty-one thousand, four hundred nine".