42262530450257 has 24 divisors (see below), whose sum is σ = 46960368297192. Its totient is φ = 37799312601600.

The previous prime is 42262530450251. The next prime is 42262530450263. The reversal of 42262530450257 is 75205403526224.

It is an interprime number because it is at equal distance from previous prime (42262530450251) and next prime (42262530450263).

It can be written as a sum of positive squares in 4 ways, for example, as 937573904656 + 41324956545601 = 968284^2 + 6428449^2 .

It is not a de Polignac number, because 42262530450257 - 2³⁰ = 42261456708433 is a prime.

It is a super-2 number, since 2×42262530450257² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42262530450251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2376344 + ... + 9495897.

It is an arithmetic number, because the mean of its divisors is an integer number (1956682012383).

Almost surely, 2^{42262530450257} is an apocalyptic number.

It is an amenable number.

42262530450257 is a deficient number, since it is larger than the sum of its proper divisors (4697837846935).

42262530450257 is a wasteful number, since it uses less digits than its factorization.

42262530450257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11872449 (or 11872382 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 47.

The spelling of 42262530450257 in words is "forty-two trillion, two hundred sixty-two billion, five hundred thirty million, four hundred fifty thousand, two hundred fifty-seven".