431061561 has 64 divisors (see below), whose sum is σ = 776355840. Its totient is φ = 231042240.

The previous prime is 431061557. The next prime is 431061613. The reversal of 431061561 is 165160134.

431061561 is a `hidden beast` number, since 43 + 1 + 0 + 61 + 561 = 666.

It is not a de Polignac number, because 431061561 - 2² = 431061557 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (431061511) 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, 229456 + ... + 231326.

It is an arithmetic number, because the mean of its divisors is an integer number (12130560).

Almost surely, 2^431061561 is an apocalyptic number.

It is an amenable number.

431061561 is a deficient number, since it is larger than the sum of its proper divisors (345294279).

431061561 is a wasteful number, since it uses less digits than its factorization.

431061561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1957 counting only the distinct ones).

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

The square root of 431061561 is about 20762.0220836026. The cubic root of 431061561 is about 755.4048446425.

The spelling of 431061561 in words is "four hundred thirty-one million, sixty-one thousand, five hundred sixty-one".