252078125 has 56 divisors (see below), whose sum is σ = 364214088. Its totient is φ = 172800000.

The previous prime is 252078107. The next prime is 252078131. The reversal of 252078125 is 521870252.

It is a happy number.

It can be written as a sum of positive squares in 28 ways, for example, as 114297481 + 137780644 = 10691^2 + 11738^2 .

It is not a de Polignac number, because 252078125 - 2¹⁴ = 252061741 is a prime.

It is a super-2 number, since 2×252078125² = 127086762207031250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 252078091 and 252078100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3453089 + ... + 3453161.

It is an arithmetic number, because the mean of its divisors is an integer number (6503823).

Almost surely, 2^252078125 is an apocalyptic number.

252078125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252078125 is a deficient number, since it is larger than the sum of its proper divisors (112135963).

252078125 is an frugal number, since it uses more digits than its factorization.

252078125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 252078125 is about 15876.9683819047. The cubic root of 252078125 is about 631.7012262481.

The spelling of 252078125 in words is "two hundred fifty-two million, seventy-eight thousand, one hundred twenty-five".