257200541 has 8 divisors (see below), whose sum is σ = 278646144. Its totient is φ = 235992240.

The previous prime is 257200523. The next prime is 257200547. The reversal of 257200541 is 145002752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257200541 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 257200541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257200547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57065 + ... + 61406.

It is an arithmetic number, because the mean of its divisors is an integer number (34830768).

Almost surely, 2^257200541 is an apocalyptic number.

It is an amenable number.

257200541 is a deficient number, since it is larger than the sum of its proper divisors (21445603).

257200541 is a wasteful number, since it uses less digits than its factorization.

257200541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118651.

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 257200541 is about 16037.4730241394. The cubic root of 257200541 is about 635.9514461635.

The spelling of 257200541 in words is "two hundred fifty-seven million, two hundred thousand, five hundred forty-one".