1472031372529 has 81 divisors (see below), whose sum is σ = 1708939842337. Its totient is φ = 1267549980928.

The previous prime is 1472031372521. The next prime is 1472031372533. The reversal of 1472031372529 is 9252731302741.

The square root of 1472031372529 is 1213273.

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

It can be written as a sum of positive squares in 4 ways, for example, as 145507917025 + 1326523455504 = 381455^2 + 1151748^2 .

It is not a de Polignac number, because 1472031372529 - 2³ = 1472031372521 is a prime.

It is a super-2 number, since 2×1472031372529² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1472031372521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13757302494 + ... + 13757302600.

Almost surely, 2^{1472031372529} is an apocalyptic number.

1472031372529 is the 1213273-rd square number.

1472031372529 is the 606637-th centered octagonal number.

It is an amenable number.

1472031372529 is a deficient number, since it is larger than the sum of its proper divisors (236908469808).

1472031372529 is an equidigital number, since it uses as much as digits as its factorization.

1472031372529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 1472031372529 in words is "one trillion, four hundred seventy-two billion, thirty-one million, three hundred seventy-two thousand, five hundred twenty-nine".