701407925001 has 81 divisors (see below), whose sum is σ = 1244443018221. Its totient is φ = 379528653168.

The previous prime is 701407924981. The next prime is 701407925003. The reversal of 701407925001 is 100529704107.

It is a happy number.

The square root of 701407925001 is 837501.

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

701407925001 is a `hidden beast` number, since 7 + 0 + 140 + 7 + 9 + 2 + 500 + 1 = 666.

It is not a de Polignac number, because 701407925001 - 2⁷ = 701407924873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (701407925003) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 334161850 + ... + 334163948.

Almost surely, 2^701407925001 is an apocalyptic number.

701407925001 is the 837501-st square number.

701407925001 is the 418751-st centered octagonal number.

It is an amenable number.

701407925001 is a deficient number, since it is larger than the sum of its proper divisors (543035093220).

701407925001 is an equidigital number, since it uses as much as digits as its factorization.

701407925001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

Multiplying 701407925001 by its sum of digits (36), we get a square (25250685300036 = 5025006²).

The spelling of 701407925001 in words is "seven hundred one billion, four hundred seven million, nine hundred twenty-five thousand, one".