152353605625 has 45 divisors (see below), whose sum is σ = 206324071569. Its totient is φ = 112413600000.

The previous prime is 152353605577. The next prime is 152353605631. The reversal of 152353605625 is 526506353251.

The square root of 152353605625 is 390325.

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

It can be written as a sum of positive squares in 22 ways, for example, as 3484186729 + 148869418896 = 59027^2 + 385836^2 .

It is not a de Polignac number, because 152353605625 - 2²⁵ = 152320051193 is a prime.

It is a super-2 number, since 2×152353605625² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 126855025 + ... + 126856225.

Almost surely, 2^152353605625 is an apocalyptic number.

152353605625 is the 390325-th square number.

152353605625 is the 195163-rd centered octagonal number.

It is an amenable number.

152353605625 is a deficient number, since it is larger than the sum of its proper divisors (53970465944).

152353605625 is an frugal number, since it uses more digits than its factorization.

152353605625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 43.

Adding to 152353605625 its reverse (526506353251), we get a palindrome (678859958876).

The spelling of 152353605625 in words is "one hundred fifty-two billion, three hundred fifty-three million, six hundred five thousand, six hundred twenty-five".