123337928025 has 81 divisors (see below), whose sum is σ = 239345225847. Its totient is φ = 60686496000.

The previous prime is 123337928023. The next prime is 123337928059. The reversal of 123337928025 is 520829733321.

The square root of 123337928025 is 351195.

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

123337928025 is a `hidden beast` number, since 1 + 233 + 379 + 28 + 0 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 120056013081 + 3281914944 = 346491^2 + 57288^2 .

It is not a de Polignac number, because 123337928025 - 2¹ = 123337928023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123337928023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 68482125 + ... + 68483925.

Almost surely, 2^123337928025 is an apocalyptic number.

123337928025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

123337928025 is the 351195-th square number.

123337928025 is the 175598-th centered octagonal number.

It is an amenable number.

123337928025 is a deficient number, since it is larger than the sum of its proper divisors (116007297822).

123337928025 is an equidigital number, since it uses as much as digits as its factorization.

123337928025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 123337928025 in words is "one hundred twenty-three billion, three hundred thirty-seven million, nine hundred twenty-eight thousand, twenty-five".