682631226225 has 243 divisors, whose sum is σ = 1403597826657. Its totient is φ = 316949293440.

The previous prime is 682631226217. The next prime is 682631226253. The reversal of 682631226225 is 522622136286.

The square root of 682631226225 is 826215.

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

682631226225 is a `hidden beast` number, since 6 + 8 + 2 + 6 + 3 + 12 + 2 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 175949208369 + 506682017856 = 419463^2 + 711816^2 .

It is not a de Polignac number, because 682631226225 - 2³ = 682631226217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3061126464 + ... + 3061126686.

Almost surely, 2^682631226225 is an apocalyptic number.

682631226225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

682631226225 is the 826215-th square number.

682631226225 is the 413108-th centered octagonal number.

It is an amenable number.

682631226225 is an abundant number, since it is smaller than the sum of its proper divisors (720966600432).

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

682631226225 is a wasteful number, since it uses less digits than its factorization.

682631226225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 263 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 682631226225 in words is "six hundred eighty-two billion, six hundred thirty-one million, two hundred twenty-six thousand, two hundred twenty-five".