10257232500 has 300 divisors, whose sum is σ = 34438054420. Its totient is φ = 2661336000.

The previous prime is 10257232471. The next prime is 10257232501. The reversal of 10257232500 is 523275201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10257232500 is a `hidden beast` number, since 10 + 2 + 572 + 32 + 50 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 5065453584 + 5191778916 = 71172^2 + 72054^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2775 × 1665 × 2220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10257232501) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 277222482 + ... + 277222518.

Almost surely, 2^10257232500 is an apocalyptic number.

10257232500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10257232500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17219027210).

10257232500 is an abundant number, since it is smaller than the sum of its proper divisors (24180821920).

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

10257232500 is an frugal number, since it uses more digits than its factorization.

10257232500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 10257232500 in words is "ten billion, two hundred fifty-seven million, two hundred thirty-two thousand, five hundred".