257361225 has 96 divisors (see below), whose sum is σ = 497111040. Its totient is φ = 116256000.

The previous prime is 257361217. The next prime is 257361227. The reversal of 257361225 is 522163752.

257361225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257361225 - 2³ = 257361217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (257361227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 741502 + ... + 741848.

It is an arithmetic number, because the mean of its divisors is an integer number (5178240).

Almost surely, 2^257361225 is an apocalyptic number.

257361225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257361225 is a deficient number, since it is larger than the sum of its proper divisors (239749815).

257361225 is a wasteful number, since it uses less digits than its factorization.

257361225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 426 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 257361225 is about 16042.4818840477. The cubic root of 257361225 is about 636.0838538027.

The spelling of 257361225 in words is "two hundred fifty-seven million, three hundred sixty-one thousand, two hundred twenty-five".