706512508461 has 16 divisors (see below), whose sum is σ = 1064425627200. Its totient is φ = 463025145744.

The previous prime is 706512508447. The next prime is 706512508477. The reversal of 706512508461 is 164805215607.

706512508461 is a `hidden beast` number, since 7 + 0 + 6 + 512 + 50 + 84 + 6 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-706512508461 is a prime.

It is a super-2 number, since 2×706512508461² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706512548461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221753746 + ... + 221756931.

It is an arithmetic number, because the mean of its divisors is an integer number (66526601700).

Almost surely, 2^706512508461 is an apocalyptic number.

It is an amenable number.

706512508461 is a deficient number, since it is larger than the sum of its proper divisors (357913118739).

706512508461 is a wasteful number, since it uses less digits than its factorization.

706512508461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443510745 (or 443510739 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 706512508461 in words is "seven hundred six billion, five hundred twelve million, five hundred eight thousand, four hundred sixty-one".