461465564303253 has 64 divisors (see below), whose sum is σ = 684313847610624. Its totient is φ = 275395104768000.

The previous prime is 461465564303243. The next prime is 461465564303281. The reversal of 461465564303253 is 352303465564164.

It is a happy number.

It is not a de Polignac number, because 461465564303253 - 2¹⁰ = 461465564302229 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 461465564303193 and 461465564303202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461465564303203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1595103 + ... + 30421628.

It is an arithmetic number, because the mean of its divisors is an integer number (10692403868916).

Almost surely, 2^{461465564303253} is an apocalyptic number.

It is an amenable number.

461465564303253 is a deficient number, since it is larger than the sum of its proper divisors (222848283307371).

461465564303253 is a wasteful number, since it uses less digits than its factorization.

461465564303253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32016966.

The product of its (nonzero) digits is 93312000, while the sum is 57.

The spelling of 461465564303253 in words is "four hundred sixty-one trillion, four hundred sixty-five billion, five hundred sixty-four million, three hundred three thousand, two hundred fifty-three".