513106461 has 32 divisors (see below), whose sum is σ = 919860480. Its totient is φ = 275954688.

The previous prime is 513106459. The next prime is 513106463. The reversal of 513106461 is 164601315.

513106461 is a `hidden beast` number, since 5 + 1 + 3 + 10 + 646 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (513106459) and next prime (513106463).

It is not a de Polignac number, because 513106461 - 2¹ = 513106459 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513106463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76636 + ... + 83061.

It is an arithmetic number, because the mean of its divisors is an integer number (28745640).

Almost surely, 2^513106461 is an apocalyptic number.

513106461 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

513106461 is a deficient number, since it is larger than the sum of its proper divisors (406754019).

513106461 is a wasteful number, since it uses less digits than its factorization.

513106461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159730 (or 159724 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 513106461 is about 22651.8533678814. The cubic root of 513106461 is about 800.5758671427.

Adding to 513106461 its reverse (164601315), we get a palindrome (677707776).

The spelling of 513106461 in words is "five hundred thirteen million, one hundred six thousand, four hundred sixty-one".