252106425 has 108 divisors (see below), whose sum is σ = 494215020. Its totient is φ = 127370880.

The previous prime is 252106411. The next prime is 252106451. The reversal of 252106425 is 524601252.

252106425 is a `hidden beast` number, since 2 + 5 + 2 + 10 + 642 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 59049 + 252047376 = 243^2 + 15876^2 .

It is not a de Polignac number, because 252106425 - 2⁷ = 252106297 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4756699 + ... + 4756751.

It is an arithmetic number, because the mean of its divisors is an integer number (4576065).

Almost surely, 2^252106425 is an apocalyptic number.

252106425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252106425 is a deficient number, since it is larger than the sum of its proper divisors (242108595).

252106425 is an frugal number, since it uses more digits than its factorization.

252106425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 252106425 is about 15877.8595849693. The cubic root of 252106425 is about 631.7248650516.

Adding to 252106425 its reverse (524601252), we get a palindrome (776707677).

The spelling of 252106425 in words is "two hundred fifty-two million, one hundred six thousand, four hundred twenty-five".