257226928753 has 24 divisors (see below), whose sum is σ = 294326254080. Its totient is φ = 224099842560.

The previous prime is 257226928747. The next prime is 257226928759. The reversal of 257226928753 is 357829622752.

It is an interprime number because it is at equal distance from previous prime (257226928747) and next prime (257226928759).

It is not a de Polignac number, because 257226928753 - 2²¹ = 257224831601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257226928759) 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, 418108 + ... + 830221.

It is an arithmetic number, because the mean of its divisors is an integer number (12263593920).

Almost surely, 2^257226928753 is an apocalyptic number.

257226928753 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

257226928753 is a deficient number, since it is larger than the sum of its proper divisors (37099325327).

257226928753 is a wasteful number, since it uses less digits than its factorization.

257226928753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248417 (or 1248400 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 58.

The spelling of 257226928753 in words is "two hundred fifty-seven billion, two hundred twenty-six million, nine hundred twenty-eight thousand, seven hundred fifty-three".