426637580625 has 75 divisors (see below), whose sum is σ = 796673008813. Its totient is φ = 227461662000.

The previous prime is 426637580531. The next prime is 426637580627. The reversal of 426637580625 is 526085736624.

The square root of 426637580625 is 653175.

It is a perfect power (a square), and thus also a powerful number.

426637580625 is a `hidden beast` number, since 4 + 2 + 6 + 6 + 3 + 7 + 5 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33448386321 + 393189194304 = 182889^2 + 627048^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is a de Polignac number, because none of the positive numbers 2^k-426637580625 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (426637580627) 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 74 ways as a sum of consecutive naturals, for example, 146962924 + ... + 146965826.

Almost surely, 2^426637580625 is an apocalyptic number.

426637580625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

426637580625 is the 653175-th square number.

426637580625 is the 326588-th centered octagonal number.

It is an amenable number.

426637580625 is a deficient number, since it is larger than the sum of its proper divisors (370035428188).

426637580625 is an frugal number, since it uses more digits than its factorization.

426637580625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 426637580625 in words is "four hundred twenty-six billion, six hundred thirty-seven million, five hundred eighty thousand, six hundred twenty-five".