1252513900125 has 24 divisors (see below), whose sum is σ = 2257865059320. Its totient is φ = 668007412800.

The previous prime is 1252513900117. The next prime is 1252513900133. The reversal of 1252513900125 is 5210093152521.

1252513900125 is a `hidden beast` number, since 1 + 2 + 5 + 251 + 390 + 0 + 12 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1252513900117) and next prime (1252513900133).

It can be written as a sum of positive squares in 4 ways, for example, as 162120580164 + 1090393319961 = 402642^2 + 1044219^2 .

It is not a de Polignac number, because 1252513900125 - 2³ = 1252513900117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1252513900125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556671720 + ... + 556673969.

It is an arithmetic number, because the mean of its divisors is an integer number (94077710805).

Almost surely, 2^{1252513900125} is an apocalyptic number.

1252513900125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1252513900125 is a deficient number, since it is larger than the sum of its proper divisors (1005351159195).

1252513900125 is a wasteful number, since it uses less digits than its factorization.

1252513900125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113345710 (or 1113345697 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 1252513900125 in words is "one trillion, two hundred fifty-two billion, five hundred thirteen million, nine hundred thousand, one hundred twenty-five".