257016069 has 24 divisors (see below), whose sum is σ = 383460480. Its totient is φ = 165789888.

The previous prime is 257016061. The next prime is 257016077. The reversal of 257016069 is 960610752.

It is an interprime number because it is at equal distance from previous prime (257016061) and next prime (257016077).

It is not a de Polignac number, because 257016069 - 2³ = 257016061 is a prime.

It is a super-3 number, since 3×257016069³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257016061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34234 + ... + 41060.

It is an arithmetic number, because the mean of its divisors is an integer number (15977520).

Almost surely, 2^257016069 is an apocalyptic number.

It is an amenable number.

257016069 is a deficient number, since it is larger than the sum of its proper divisors (126444411).

257016069 is a wasteful number, since it uses less digits than its factorization.

257016069 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6969 (or 6966 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 257016069 is about 16031.7207123877. The cubic root of 257016069 is about 635.7993686014.

The spelling of 257016069 in words is "two hundred fifty-seven million, sixteen thousand, sixty-nine".