461825702005 has 64 divisors (see below), whose sum is σ = 622281104640. Its totient is φ = 326977191936.

The previous prime is 461825701991. The next prime is 461825702059. The reversal of 461825702005 is 500207528164.

It is a cyclic number.

It is not a de Polignac number, because 461825702005 - 2¹⁵ = 461825669237 is a prime.

It is a super-2 number, since 2×461825702005² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 163015069 + ... + 163017901.

It is an arithmetic number, because the mean of its divisors is an integer number (9723142260).

Almost surely, 2^461825702005 is an apocalyptic number.

It is an amenable number.

461825702005 is a deficient number, since it is larger than the sum of its proper divisors (160455402635).

461825702005 is a wasteful number, since it uses less digits than its factorization.

461825702005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590.

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 461825702005 in words is "four hundred sixty-one billion, eight hundred twenty-five million, seven hundred two thousand, five".