2551257 has 12 divisors (see below), whose sum is σ = 3822000. Its totient is φ = 1700676.

The previous prime is 2551249. The next prime is 2551273. The reversal of 2551257 is 7521552.

It is a happy number.

2551257 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 2551257 - 2³ = 2551249 is a prime.

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

2551257 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2551257.

It is not an unprimeable number, because it can be changed into a prime (2551247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5007 + ... + 5492.

It is an arithmetic number, because the mean of its divisors is an integer number (318500).

2^2551257 is an apocalyptic number.

2551257 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2551257 is a deficient number, since it is larger than the sum of its proper divisors (1270743).

2551257 is an equidigital number, since it uses as much as digits as its factorization.

2551257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10514 (or 10502 counting only the distinct ones).

The product of its digits is 3500, while the sum is 27.

The square root of 2551257 is about 1597.2654757428. The cubic root of 2551257 is about 136.6421656124.

The spelling of 2551257 in words is "two million, five hundred fifty-one thousand, two hundred fifty-seven".