152858728596025 has 27 divisors (see below), whose sum is σ = 191410904009871. Its totient is φ = 121094686265040.

The previous prime is 152858728595977. The next prime is 152858728596061. The reversal of 152858728596025 is 520695827858251.

The square root of 152858728596025 is 12363605.

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., 55029142294569 + 97829586301456 = 7418163^2 + 9890884^2 .

It is not a de Polignac number, because 152858728596025 - 2⁹ = 152858728595513 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 (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6367244572 + ... + 6367268578.

Almost surely, 2^{152858728596025} is an apocalyptic number.

152858728596025 is the 12363605-th square number.

152858728596025 is the 6181803-rd centered octagonal number.

It is an amenable number.

152858728596025 is a deficient number, since it is larger than the sum of its proper divisors (38552175413846).

152858728596025 is an frugal number, since it uses more digits than its factorization.

152858728596025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48230 (or 24115 counting only the distinct ones).

The product of its (nonzero) digits is 967680000, while the sum is 73.

The spelling of 152858728596025 in words is "one hundred fifty-two trillion, eight hundred fifty-eight billion, seven hundred twenty-eight million, five hundred ninety-six thousand, twenty-five".