257212701 has 6 divisors (see below), whose sum is σ = 371529470. Its totient is φ = 171475128.

The previous prime is 257212691. The next prime is 257212723. The reversal of 257212701 is 107212752.

257212701 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 256160025 + 1052676 = 16005^2 + 1026^2 .

It is not a de Polignac number, because 257212701 - 2⁷ = 257212573 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257212741) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14289586 + ... + 14289603.

Almost surely, 2^257212701 is an apocalyptic number.

It is an amenable number.

257212701 is a deficient number, since it is larger than the sum of its proper divisors (114316769).

257212701 is a wasteful number, since it uses less digits than its factorization.

257212701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28579195 (or 28579192 counting only the distinct ones).

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

The square root of 257212701 is about 16037.8521317538. The cubic root of 257212701 is about 635.9614682364.

The spelling of 257212701 in words is "two hundred fifty-seven million, two hundred twelve thousand, seven hundred one".