257350363474261 has 4 divisors (see below), whose sum is σ = 257350396208032. Its totient is φ = 257350330740492.

The previous prime is 257350363474249. The next prime is 257350363474331. The reversal of 257350363474261 is 162474363053752.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 257350363474261 - 2⁵ = 257350363474229 is a prime.

It is a super-3 number, since 3×257350363474261³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257350363474196 and 257350363474205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257350343474261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3317206 + ... + 22928248.

It is an arithmetic number, because the mean of its divisors is an integer number (64337599052008).

Almost surely, 2^{257350363474261} is an apocalyptic number.

It is an amenable number.

257350363474261 is a deficient number, since it is larger than the sum of its proper divisors (32733771).

257350363474261 is a wasteful number, since it uses less digits than its factorization.

257350363474261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32733770.

The product of its (nonzero) digits is 76204800, while the sum is 58.

The spelling of 257350363474261 in words is "two hundred fifty-seven trillion, three hundred fifty billion, three hundred sixty-three million, four hundred seventy-four thousand, two hundred sixty-one".