123359000625 has 225 divisors, whose sum is σ = 269074681821. Its totient is φ = 56139804000.

The previous prime is 123359000599. The next prime is 123359000641. The reversal of 123359000625 is 526000953321.

The square root of 123359000625 is 351225.

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

123359000625 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 590 + 0 + 0 + 62 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9671345649 + 113687654976 = 98343^2 + 337176^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 123359000625 - 2²³ = 123350612017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123359000625.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 553179264 + ... + 553179486.

Almost surely, 2^123359000625 is an apocalyptic number.

123359000625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

123359000625 is the 351225-th square number.

123359000625 is the 175613-rd centered octagonal number.

It is an amenable number.

123359000625 is an abundant number, since it is smaller than the sum of its proper divisors (145715681196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123359000625 is an frugal number, since it uses more digits than its factorization.

123359000625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Multiplying 123359000625 by its sum of digits (36), we get a square (4440924022500 = 2107350²).

Adding to 123359000625 its reverse (526000953321), we get a palindrome (649359953946).

The spelling of 123359000625 in words is "one hundred twenty-three billion, three hundred fifty-nine million, six hundred twenty-five", and thus it is an aban number.