123865283025 has 243 divisors, whose sum is σ = 256471054203. Its totient is φ = 59295693600.

The previous prime is 123865282997. The next prime is 123865283033. The reversal of 123865283025 is 520382568321.

The square root of 123865283025 is 351945.

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

123865283025 is a `hidden beast` number, since 1 + 23 + 86 + 528 + 3 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44591501889 + 79273781136 = 211167^2 + 281556^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 123865283025 - 2³¹ = 121717799377 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1567914936 + ... + 1567915014.

Almost surely, 2^123865283025 is an apocalyptic number.

123865283025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

123865283025 is the 351945-th square number.

123865283025 is the 175973-rd centered octagonal number.

It is an amenable number.

123865283025 is an abundant number, since it is smaller than the sum of its proper divisors (132605771178).

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

123865283025 is an frugal number, since it uses more digits than its factorization.

123865283025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 123865283025 in words is "one hundred twenty-three billion, eight hundred sixty-five million, two hundred eighty-three thousand, twenty-five".