254115125 has 48 divisors (see below), whose sum is σ = 356284656. Its totient is φ = 180752000.

The previous prime is 254115061. The next prime is 254115181. The reversal of 254115125 is 521511452.

It can be written as a sum of positive squares in 8 ways, for example, as 121727089 + 132388036 = 11033^2 + 11506^2 .

It is not a de Polignac number, because 254115125 - 2⁶ = 254115061 is a prime.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 254115094 and 254115103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801467 + ... + 801783.

It is an arithmetic number, because the mean of its divisors is an integer number (7422597).

Almost surely, 2^254115125 is an apocalyptic number.

254115125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

254115125 is a deficient number, since it is larger than the sum of its proper divisors (102169531).

254115125 is a wasteful number, since it uses less digits than its factorization.

254115125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 386 counting only the distinct ones).

The product of its digits is 2000, while the sum is 26.

The square root of 254115125 is about 15940.9888338208. The cubic root of 254115125 is about 633.3982197294.

Adding to 254115125 its reverse (521511452), we get a palindrome (775626577).

The spelling of 254115125 in words is "two hundred fifty-four million, one hundred fifteen thousand, one hundred twenty-five".