153905387151321 has 45 divisors (see below), whose sum is σ = 248956032452589. Its totient is φ = 94710114255744.

The previous prime is 153905387151227. The next prime is 153905387151343. The reversal of 153905387151321 is 123151783509351.

The square root of 153905387151321 is 12405861.

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

153905387151321 is a `hidden beast` number, since 1 + 5 + 3 + 9 + 0 + 5 + 38 + 71 + 513 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89366979534921 + 64538407616400 = 9453411^2 + 8033580^2 .

It is not a de Polignac number, because 153905387151321 - 2³¹ = 153903239667673 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (153905387151391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1451432721 + ... + 1451538753.

Almost surely, 2^{153905387151321} is an apocalyptic number.

153905387151321 is the 12405861-st square number.

153905387151321 is the 6202931-st centered octagonal number.

It is an amenable number.

153905387151321 is a deficient number, since it is larger than the sum of its proper divisors (95050645301268).

153905387151321 is an frugal number, since it uses more digits than its factorization.

153905387151321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212104 (or 106049 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 153905387151321 in words is "one hundred fifty-three trillion, nine hundred five billion, three hundred eighty-seven million, one hundred fifty-one thousand, three hundred twenty-one".