147485953521 has 45 divisors (see below), whose sum is σ = 223837747419. Its totient is φ = 96777828000.

The previous prime is 147485953513. The next prime is 147485953541. The reversal of 147485953521 is 125359584741.

The square root of 147485953521 is 384039.

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

147485953521 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 85 + 9 + 535 + 21 = 666.

147485953521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 123966663921 + 23519289600 = 352089^2 + 153360^2 .

It is not a de Polignac number, because 147485953521 - 2³ = 147485953513 is a prime.

Its product of digits (6048000) is a multiple of the sum of its prime divisors (675).

It is not an unprimeable number, because it can be changed into a prime (147485953541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 245400621 + ... + 245401221.

Almost surely, 2^147485953521 is an apocalyptic number.

147485953521 is the 384039-th square number.

147485953521 is the 192020-th centered octagonal number.

It is an amenable number.

147485953521 is a deficient number, since it is larger than the sum of its proper divisors (76351793898).

147485953521 is an frugal number, since it uses more digits than its factorization.

147485953521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 675 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 147485953521 in words is "one hundred forty-seven billion, four hundred eighty-five million, nine hundred fifty-three thousand, five hundred twenty-one".