257597145 has 64 divisors (see below), whose sum is σ = 506634240. Its totient is φ = 123358464.

The previous prime is 257597113. The next prime is 257597149. The reversal of 257597145 is 541795752.

257597145 is a `hidden beast` number, since 2 + 57 + 597 + 1 + 4 + 5 = 666.

It is not a de Polignac number, because 257597145 - 2⁵ = 257597113 is a prime.

It is a super-2 number, since 2×257597145² = 132712578224302050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 257597145.

It is not an unprimeable number, because it can be changed into a prime (257597149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62952 + ... + 66918.

It is an arithmetic number, because the mean of its divisors is an integer number (7916160).

Almost surely, 2^257597145 is an apocalyptic number.

It is an amenable number.

257597145 is a deficient number, since it is larger than the sum of its proper divisors (249037095).

257597145 is a wasteful number, since it uses less digits than its factorization.

257597145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 4025 counting only the distinct ones).

The product of its digits is 441000, while the sum is 45.

The square root of 257597145 is about 16049.8331767031. The cubic root of 257597145 is about 636.2781579653.

The spelling of 257597145 in words is "two hundred fifty-seven million, five hundred ninety-seven thousand, one hundred forty-five".