42507626753 has 2 divisors, whose sum is σ = 42507626754. Its totient is φ = 42507626752.

The previous prime is 42507626731. The next prime is 42507626789. The reversal of 42507626753 is 35762670524.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41352442609 + 1155184144 = 203353^2 + 33988^2 .

It is a cyclic number.

It is not a de Polignac number, because 42507626753 - 2¹⁰ = 42507625729 is a prime.

It is a super-2 number, since 2×42507626753² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42507626698 and 42507626707.

It is not a weakly prime, because it can be changed into another prime (42507026753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21253813376 + 21253813377.

It is an arithmetic number, because the mean of its divisors is an integer number (21253813377).

Almost surely, 2^42507626753 is an apocalyptic number.

It is an amenable number.

42507626753 is a deficient number, since it is larger than the sum of its proper divisors (1).

42507626753 is an equidigital number, since it uses as much as digits as its factorization.

42507626753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2116800, while the sum is 47.

The spelling of 42507626753 in words is "forty-two billion, five hundred seven million, six hundred twenty-six thousand, seven hundred fifty-three".