706684016025 has 189 divisors, whose sum is σ = 1425645623469. Its totient is φ = 347179659840.

The previous prime is 706684015943. The next prime is 706684016041. The reversal of 706684016025 is 520610486607.

The square root of 706684016025 is 840645.

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

It can be written as a sum of positive squares in 4 ways, for example, as 182148850521 + 524535165504 = 426789^2 + 724248^2 .

It is a de Polignac number, because none of the positive numbers 2^k-706684016025 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 188 ways as a sum of consecutive naturals, for example, 1475331736 + ... + 1475332214.

Almost surely, 2^706684016025 is an apocalyptic number.

706684016025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

706684016025 is the 840645-th square number.

706684016025 is the 420323-rd centered octagonal number.

It is an amenable number.

706684016025 is an abundant number, since it is smaller than the sum of its proper divisors (718961607444).

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

706684016025 is an frugal number, since it uses more digits than its factorization.

706684016025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 706684016025 in words is "seven hundred six billion, six hundred eighty-four million, sixteen thousand, twenty-five".