5257100 has 18 divisors (see below), whose sum is σ = 11408124. Its totient is φ = 2102800.

The previous prime is 5257079. The next prime is 5257103. The reversal of 5257100 is 17525.

5257100 = 52² + 53² + ... + 251².

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

It is not an unprimeable number, because it can be changed into a prime (5257103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26186 + ... + 26385.

Almost surely, 2^5257100 is an apocalyptic number.

5257100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5257100 is an abundant number, since it is smaller than the sum of its proper divisors (6151024).

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

5257100 is a wasteful number, since it uses less digits than its factorization.

5257100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52585 (or 52578 counting only the distinct ones).

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

The square root of 5257100 is about 2292.8366710257. The cubic root of 5257100 is about 173.8796454889.

The spelling of 5257100 in words is "five million, two hundred fifty-seven thousand, one hundred".