152041505625 has 75 divisors (see below), whose sum is σ = 283977678523. Its totient is φ = 81042012000.

The previous prime is 152041505593. The next prime is 152041505641. The reversal of 152041505625 is 526505140251.

The square root of 152041505625 is 389925.

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

152041505625 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 41 + 50 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 123789274569 + 28252231056 = 351837^2 + 168084^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 152041505625 - 2⁵ = 152041505593 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 152041505625.

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 74 ways as a sum of consecutive naturals, for example, 87732259 + ... + 87733991.

Almost surely, 2^152041505625 is an apocalyptic number.

152041505625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

152041505625 is the 389925-th square number.

152041505625 is the 194963-rd centered octagonal number.

It is an amenable number.

152041505625 is a deficient number, since it is larger than the sum of its proper divisors (131936172898).

152041505625 is an frugal number, since it uses more digits than its factorization.

152041505625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Multiplying 152041505625 by its sum of digits (36), we get a square (5473494202500 = 2339550²).

Adding to 152041505625 its reverse (526505140251), we get a palindrome (678546645876).

The spelling of 152041505625 in words is "one hundred fifty-two billion, forty-one million, five hundred five thousand, six hundred twenty-five".