461302035511249 has 9 divisors (see below), whose sum is σ = 461789303813019. Its totient is φ = 460815280889040.

The previous prime is 461302035511199. The next prime is 461302035511313. The reversal of 461302035511249 is 942115530203164.

The square root of 461302035511249 is 21477943.

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

It can be written as a sum of positive squares in only one way, i.e., 455869257699025 + 5432777812224 = 21351095^2 + 2330832^2 .

It is not a de Polignac number, because 461302035511249 - 2¹⁵ = 461302035478481 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 461302035511199 and 461302035511208.

It is not an unprimeable number, because it can be changed into a prime (461302035511349) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21284630677 + ... + 21284652349.

It is an arithmetic number, because the mean of its divisors is an integer number (51309922645891).

Almost surely, 2^{461302035511249} is an apocalyptic number.

461302035511249 is the 21477943-rd square number.

461302035511249 is the 10738972-nd centered octagonal number.

It is an amenable number.

461302035511249 is a deficient number, since it is larger than the sum of its proper divisors (487268301770).

461302035511249 is an frugal number, since it uses more digits than its factorization.

461302035511249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45328 (or 22664 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 461302035511249 in words is "four hundred sixty-one trillion, three hundred two billion, thirty-five million, five hundred eleven thousand, two hundred forty-nine".