257259045 has 16 divisors (see below), whose sum is σ = 435827520. Its totient is φ = 129133824.

The previous prime is 257259017. The next prime is 257259047. The reversal of 257259045 is 540952752.

It is not a de Polignac number, because 257259045 - 2¹³ = 257250853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257258994 and 257259012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257259047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504175 + ... + 504684.

It is an arithmetic number, because the mean of its divisors is an integer number (27239220).

Almost surely, 2^257259045 is an apocalyptic number.

It is an amenable number.

257259045 is a deficient number, since it is larger than the sum of its proper divisors (178568475).

257259045 is a wasteful number, since it uses less digits than its factorization.

257259045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008884.

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 257259045 is about 16039.2968985551. The cubic root of 257259045 is about 635.9996613067. Note that the first 3 decimals are identical.

The spelling of 257259045 in words is "two hundred fifty-seven million, two hundred fifty-nine thousand, forty-five".