10257500 has 60 divisors (see below), whose sum is σ = 24535896. Its totient is φ = 3720000.

The previous prime is 10257493. The next prime is 10257509. The reversal of 10257500 is 575201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10257509) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27314 + ... + 27686.

Almost surely, 2^10257500 is an apocalyptic number.

10257500 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 10257500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12267948).

10257500 is an abundant number, since it is smaller than the sum of its proper divisors (14278396).

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

10257500 is a wasteful number, since it uses less digits than its factorization.

10257500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 10257500 is about 3202.7332077462. The cubic root of 10257500 is about 217.2770428529.

The spelling of 10257500 in words is "ten million, two hundred fifty-seven thousand, five hundred".