706018071825 has 48 divisors (see below), whose sum is σ = 1414888756800. Its totient is φ = 342311788800.

The previous prime is 706018071817. The next prime is 706018071827. The reversal of 706018071825 is 528170810607.

It is a happy number.

706018071825 is a `hidden beast` number, since 7 + 0 + 601 + 8 + 0 + 7 + 18 + 25 = 666.

It is not a de Polignac number, because 706018071825 - 2³ = 706018071817 is a prime.

It is a super-3 number, since 3×706018071825³ (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (706018071827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47535880 + ... + 47550729.

It is an arithmetic number, because the mean of its divisors is an integer number (29476849100).

Almost surely, 2^706018071825 is an apocalyptic number.

706018071825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

706018071825 is an abundant number, since it is smaller than the sum of its proper divisors (708870684975).

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

706018071825 is a wasteful number, since it uses less digits than its factorization.

706018071825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95086639 (or 95086628 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 706018071825 in words is "seven hundred six billion, eighteen million, seventy-one thousand, eight hundred twenty-five".