705055131 has 64 divisors (see below), whose sum is σ = 1186928640. Its totient is φ = 409893120.

The previous prime is 705055111. The next prime is 705055139. The reversal of 705055131 is 131550507.

It is not a de Polignac number, because 705055131 - 2¹⁵ = 705022363 is a prime.

It is a super-2 number, since 2×705055131² = 994205475498854322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 705055095 and 705055104.

It is not an unprimeable number, because it can be changed into a prime (705055139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 739351 + ... + 740303.

It is an arithmetic number, because the mean of its divisors is an integer number (18545760).

Almost surely, 2^705055131 is an apocalyptic number.

705055131 is a deficient number, since it is larger than the sum of its proper divisors (481873509).

705055131 is a wasteful number, since it uses less digits than its factorization.

705055131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 705055131 is about 26552.8742511992. The cubic root of 705055131 is about 890.0362443683.

The spelling of 705055131 in words is "seven hundred five million, fifty-five thousand, one hundred thirty-one".