153456310225 has 9 divisors (see below), whose sum is σ = 190288253467. Its totient is φ = 122763481240.

The previous prime is 153456310199. The next prime is 153456310279. The reversal of 153456310225 is 522013654351.

The square root of 153456310225 is 391735.

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

It can be written as a sum of positive squares in only one way, i.e., 55244271681 + 98212038544 = 235041^2 + 313388^2 .

It is not a de Polignac number, because 153456310225 - 2⁵ = 153456310193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1919502 + ... + 1997848.

Almost surely, 2^153456310225 is an apocalyptic number.

153456310225 is the 391735-th square number.

153456310225 is the 195868-th centered octagonal number.

It is an amenable number.

153456310225 is a deficient number, since it is larger than the sum of its proper divisors (36831943242).

153456310225 is an frugal number, since it uses more digits than its factorization.

153456310225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156704 (or 78352 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

Adding to 153456310225 its reverse (522013654351), we get a palindrome (675469964576).

The spelling of 153456310225 in words is "one hundred fifty-three billion, four hundred fifty-six million, three hundred ten thousand, two hundred twenty-five".