1553668461 has 24 divisors (see below), whose sum is σ = 2277021240. Its totient is φ = 1020704256.

The previous prime is 1553668439. The next prime is 1553668477. The reversal of 1553668461 is 1648663551.

1553668461 is a `hidden beast` number, since 15 + 536 + 68 + 46 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49702500 + 1503965961 = 7050^2 + 38781^2 .

It is not a de Polignac number, because 1553668461 - 2⁶ = 1553668397 is a prime.

It is a super-2 number, since 2×1553668461² = 4827771373412217042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1553668481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247615 + ... + 253811.

It is an arithmetic number, because the mean of its divisors is an integer number (94875885).

Almost surely, 2^1553668461 is an apocalyptic number.

It is an amenable number.

1553668461 is a deficient number, since it is larger than the sum of its proper divisors (723352779).

1553668461 is a wasteful number, since it uses less digits than its factorization.

1553668461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6605 (or 6602 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 1553668461 is about 39416.6013375075. The cubic root of 1553668461 is about 1158.2068164886.

The spelling of 1553668461 in words is "one billion, five hundred fifty-three million, six hundred sixty-eight thousand, four hundred sixty-one".