1461521971 has 48 divisors (see below), whose sum is σ = 1944192000. Its totient is φ = 1094681952.

The previous prime is 1461521947. The next prime is 1461521983. The reversal of 1461521971 is 1791251641.

It is not a de Polignac number, because 1461521971 - 2¹⁷ = 1461390899 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1461521971.

It is not an unprimeable number, because it can be changed into a prime (1461521911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100710 + ... + 1102036.

It is an arithmetic number, because the mean of its divisors is an integer number (40504000).

Almost surely, 2^1461521971 is an apocalyptic number.

1461521971 is a deficient number, since it is larger than the sum of its proper divisors (482670029).

1461521971 is a wasteful number, since it uses less digits than its factorization.

1461521971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1366 counting only the distinct ones).

The product of its digits is 15120, while the sum is 37.

The square root of 1461521971 is about 38229.8570622491. The cubic root of 1461521971 is about 1134.8412570786.

The spelling of 1461521971 in words is "one billion, four hundred sixty-one million, five hundred twenty-one thousand, nine hundred seventy-one".