1461717261 has 12 divisors (see below), whose sum is σ = 2111871580. Its totient is φ = 974246400.

The previous prime is 1461717259. The next prime is 1461717289. The reversal of 1461717261 is 1627171641.

1461717261 is a `hidden beast` number, since 1 + 4 + 617 + 17 + 26 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 955737225 + 505980036 = 30915^2 + 22494^2 .

It is not a de Polignac number, because 1461717261 - 2¹ = 1461717259 is a prime.

It is a super-2 number, since 2×1461717261² = 4273234702210684242, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461717251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26295 + ... + 60123.

Almost surely, 2^1461717261 is an apocalyptic number.

It is an amenable number.

1461717261 is a deficient number, since it is larger than the sum of its proper divisors (650154319).

1461717261 is a wasteful number, since it uses less digits than its factorization.

1461717261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38636 (or 38633 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 1461717261 is about 38232.4111324410. The cubic root of 1461717261 is about 1134.8918010283.

It can be divided in two parts, 14617 and 17261, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 1461717261 in words is "one billion, four hundred sixty-one million, seven hundred seventeen thousand, two hundred sixty-one".