257900545 has 16 divisors (see below), whose sum is σ = 363253248. Its totient is φ = 172065600.

The previous prime is 257900543. The next prime is 257900561. The reversal of 257900545 is 545009752.

It is not a de Polignac number, because 257900545 - 2¹ = 257900543 is a prime.

It is a super-2 number, since 2×257900545² = 133025382222594050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257900543) 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, 98281 + ... + 100870.

It is an arithmetic number, because the mean of its divisors is an integer number (22703328).

It is a Proth number, since it is equal to 15741 ⋅ 2¹⁴ + 1 and 15741 < 2¹⁴.

Almost surely, 2^257900545 is an apocalyptic number.

It is an amenable number.

257900545 is a deficient number, since it is larger than the sum of its proper divisors (105352703).

257900545 is a wasteful number, since it uses less digits than its factorization.

257900545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199200.

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 257900545 is about 16059.2822068734. The cubic root of 257900545 is about 636.5278644750.

The spelling of 257900545 in words is "two hundred fifty-seven million, nine hundred thousand, five hundred forty-five".