257434364509 has 12 divisors (see below), whose sum is σ = 309124610688. Its totient is φ = 213540024600.

The previous prime is 257434364497. The next prime is 257434364519. The reversal of 257434364509 is 905463434752.

It is not a de Polignac number, because 257434364509 - 2¹⁵ = 257434331741 is a prime.

It is a super-2 number, since 2×257434364509² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257434364519) 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, 84736587 + ... + 84739624.

It is an arithmetic number, because the mean of its divisors is an integer number (25760384224).

Almost surely, 2^257434364509 is an apocalyptic number.

It is an amenable number.

257434364509 is a deficient number, since it is larger than the sum of its proper divisors (51690246179).

257434364509 is a wasteful number, since it uses less digits than its factorization.

257434364509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169476256 (or 169476249 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 52.

The spelling of 257434364509 in words is "two hundred fifty-seven billion, four hundred thirty-four million, three hundred sixty-four thousand, five hundred nine".