10251051525 has 192 divisors, whose sum is σ = 22499393280. Its totient is φ = 4510080000.

The previous prime is 10251051491. The next prime is 10251051553. The reversal of 10251051525 is 52515015201.

10251051525 is a `hidden beast` number, since 10 + 25 + 105 + 1 + 525 = 666.

It is not a de Polignac number, because 10251051525 - 2²⁰ = 10250002949 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5887155 + ... + 5888895.

It is an arithmetic number, because the mean of its divisors is an integer number (117184340).

Almost surely, 2^10251051525 is an apocalyptic number.

10251051525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10251051525 is an abundant number, since it is smaller than the sum of its proper divisors (12248341755).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10251051525 is a wasteful number, since it uses less digits than its factorization.

10251051525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

Adding to 10251051525 its reverse (52515015201), we get a palindrome (62766066726).

The spelling of 10251051525 in words is "ten billion, two hundred fifty-one million, fifty-one thousand, five hundred twenty-five".