10257516 has 72 divisors (see below), whose sum is σ = 27487824. Its totient is φ = 3343680.

The previous prime is 10257509. The next prime is 10257529. The reversal of 10257516 is 61575201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10257516.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59206 + ... + 59378.

Almost surely, 2^10257516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10257516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13743912).

10257516 is an abundant number, since it is smaller than the sum of its proper divisors (17230308).

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

10257516 is a wasteful number, since it uses less digits than its factorization.

10257516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 10257516 is about 3202.7357056117. The cubic root of 10257516 is about 217.2771558249.

The spelling of 10257516 in words is "ten million, two hundred fifty-seven thousand, five hundred sixteen".