42648715903261 has 8 divisors (see below), whose sum is σ = 45973170343800. Its totient is φ = 39330516317952.

The previous prime is 42648715903249. The next prime is 42648715903291. The reversal of 42648715903261 is 16230951784624.

It can be written as a sum of positive squares in 4 ways, for example, as 7532247316036 + 35116468587225 = 2744494^2 + 5925915^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 42648715903261 - 2¹⁵ = 42648715870493 is a prime.

It is a super-2 number, since 2×42648715903261² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42648715903196 and 42648715903205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42648715903201) 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, 1563699640 + ... + 1563726913.

It is an arithmetic number, because the mean of its divisors is an integer number (5746646292975).

It is a 2-persistent number, because it is pandigital, and so is 2⋅42648715903261 = 85297431806522, but 3⋅42648715903261 = 127946147709783 is not.

Almost surely, 2^{42648715903261} is an apocalyptic number.

It is an amenable number.

42648715903261 is a deficient number, since it is larger than the sum of its proper divisors (3324454440539).

42648715903261 is a wasteful number, since it uses less digits than its factorization.

42648715903261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127427615.

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 42648715903261 in words is "forty-two trillion, six hundred forty-eight billion, seven hundred fifteen million, nine hundred three thousand, two hundred sixty-one".