2564514125 has 16 divisors (see below), whose sum is σ = 3278581488. Its totient is φ = 2001568000.

The previous prime is 2564514079. The next prime is 2564514131. The reversal of 2564514125 is 5214154652.

2564514125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1547478244 + 1017035881 = 39338^2 + 31891^2 .

It is not a de Polignac number, because 2564514125 - 2⁶ = 2564514061 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245072 + ... + 255321.

It is an arithmetic number, because the mean of its divisors is an integer number (204911343).

Almost surely, 2^2564514125 is an apocalyptic number.

2564514125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2564514125 is a deficient number, since it is larger than the sum of its proper divisors (714067363).

2564514125 is an equidigital number, since it uses as much as digits as its factorization.

2564514125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500449 (or 500439 counting only the distinct ones).

The product of its digits is 48000, while the sum is 35.

The square root of 2564514125 is about 50641.0320293732. The cubic root of 2564514125 is about 1368.7843523971.

Adding to 2564514125 its reverse (5214154652), we get a palindrome (7778668777).

The spelling of 2564514125 in words is "two billion, five hundred sixty-four million, five hundred fourteen thousand, one hundred twenty-five".