71101257 has 24 divisors (see below), whose sum is σ = 101560512. Its totient is φ = 44161920.

The previous prime is 71101241. The next prime is 71101279. The reversal of 71101257 is 75210117.

It is a happy number.

It is not a de Polignac number, because 71101257 - 2⁴ = 71101241 is a prime.

It is a super-3 number, since 3×71101257³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (71101237) 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, 115683 + ... + 116295.

It is an arithmetic number, because the mean of its divisors is an integer number (4231688).

Almost surely, 2^71101257 is an apocalyptic number.

It is an amenable number.

71101257 is a deficient number, since it is larger than the sum of its proper divisors (30459255).

71101257 is a wasteful number, since it uses less digits than its factorization.

71101257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 24.

The square root of 71101257 is about 8432.1561299587. The cubic root of 71101257 is about 414.2785296925.

The spelling of 71101257 in words is "seventy-one million, one hundred one thousand, two hundred fifty-seven".