152005321 has 16 divisors (see below), whose sum is σ = 171553536. Its totient is φ = 133632576.

The previous prime is 152005319. The next prime is 152005331. The reversal of 152005321 is 123500251.

152005321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152005321 - 2¹ = 152005319 is a prime.

It is a super-2 number, since 2×152005321² = 46211235224626082, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152005331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77671 + ... + 79603.

It is an arithmetic number, because the mean of its divisors is an integer number (10722096).

Almost surely, 2^152005321 is an apocalyptic number.

It is an amenable number.

152005321 is a deficient number, since it is larger than the sum of its proper divisors (19548215).

152005321 is a wasteful number, since it uses less digits than its factorization.

152005321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232.

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 152005321 is about 12329.0437990949. The cubic root of 152005321 is about 533.6865571126.

Adding to 152005321 its reverse (123500251), we get a palindrome (275505572).

The spelling of 152005321 in words is "one hundred fifty-two million, five thousand, three hundred twenty-one".