257010741 has 12 divisors (see below), whose sum is σ = 399794668. Its totient is φ = 158160384.

The previous prime is 257010713. The next prime is 257010757. The reversal of 257010741 is 147010752.

It can be written as a sum of positive squares in 2 ways, for example, as 57608100 + 199402641 = 7590^2 + 14121^2 .

It is not a de Polignac number, because 257010741 - 2¹⁴ = 256994357 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257010791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1098220 + ... + 1098453.

Almost surely, 2^257010741 is an apocalyptic number.

It is an amenable number.

257010741 is a deficient number, since it is larger than the sum of its proper divisors (142783927).

257010741 is a wasteful number, since it uses less digits than its factorization.

257010741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196692 (or 2196689 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 257010741 is about 16031.5545409670. The cubic root of 257010741 is about 635.7949751505.

The spelling of 257010741 in words is "two hundred fifty-seven million, ten thousand, seven hundred forty-one".