606879950625 has 405 divisors, whose sum is σ = 1287405649101. Its totient is φ = 275213952000.

The previous prime is 606879950477. The next prime is 606879950657. The reversal of 606879950625 is 526059978606.

The square root of 606879950625 is 779025.

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

606879950625 is a `hidden beast` number, since 60 + 68 + 7 + 9 + 9 + 506 + 2 + 5 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 523818405009 + 83061545616 = 723753^2 + 288204^2 .

It is not a de Polignac number, because 606879950625 - 2¹⁹ = 606879426337 is a prime.

It is an unprimeable number.

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 404 ways as a sum of consecutive naturals, for example, 12912339352 + ... + 12912339398.

Almost surely, 2^606879950625 is an apocalyptic number.

606879950625 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

606879950625 is the 779025-th square number.

606879950625 is the 389513-rd centered octagonal number.

It is an amenable number.

606879950625 is an abundant number, since it is smaller than the sum of its proper divisors (680525698476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

606879950625 is a wasteful number, since it uses less digits than its factorization.

606879950625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

It can be divided in two parts, 606879 and 950625, that added together give a square (1557504 = 1248²).

The spelling of 606879950625 in words is "six hundred six billion, eight hundred seventy-nine million, nine hundred fifty thousand, six hundred twenty-five".