257561045 has 8 divisors (see below), whose sum is σ = 353226624. Its totient is φ = 176613264.

The previous prime is 257561021. The next prime is 257561047. The reversal of 257561045 is 540165752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257561045 - 2⁶ = 257560981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35), and also a Moran number because the ratio is a prime number: 7358887 = 257561045 / (2 + 5 + 7 + 5 + 6 + 1 + 0 + 4 + 5).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257560996 and 257561014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257561047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3679409 + ... + 3679478.

It is an arithmetic number, because the mean of its divisors is an integer number (44153328).

Almost surely, 2^257561045 is an apocalyptic number.

It is an amenable number.

257561045 is a deficient number, since it is larger than the sum of its proper divisors (95665579).

257561045 is an equidigital number, since it uses as much as digits as its factorization.

257561045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7358899.

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 257561045 is about 16048.7085150176. The cubic root of 257561045 is about 636.2484336263.

The spelling of 257561045 in words is "two hundred fifty-seven million, five hundred sixty-one thousand, forty-five".