152322421558609 has 27 divisors (see below), whose sum is σ = 155706926316499. Its totient is φ = 149011127619200.

The previous prime is 152322421558511. The next prime is 152322421558679. The reversal of 152322421558609 is 906855124223251.

The square root of 152322421558609 is 12341897.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3235195782225 + 149087225776384 = 1798665^2 + 12210128^2 .

It is not a de Polignac number, because 152322421558609 - 2³¹ = 152320274074961 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 152322421558609.

It is not an unprimeable number, because it can be changed into a prime (152322421558679) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 110941311447 + ... + 110941312819.

Almost surely, 2^{152322421558609} is an apocalyptic number.

152322421558609 is the 12341897-th square number.

152322421558609 is the 6170949-th centered octagonal number.

It is an amenable number.

152322421558609 is a deficient number, since it is larger than the sum of its proper divisors (3384504757890).

152322421558609 is an frugal number, since it uses more digits than its factorization.

152322421558609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 55.

The spelling of 152322421558609 in words is "one hundred fifty-two trillion, three hundred twenty-two billion, four hundred twenty-one million, five hundred fifty-eight thousand, six hundred nine".