1610016961 has 40 divisors (see below), whose sum is σ = 1967601664. Its totient is φ = 1315802880.

The previous prime is 1610016959. The next prime is 1610016979. The reversal of 1610016961 is 1696100161.

It is a happy number.

It is not a de Polignac number, because 1610016961 - 2¹ = 1610016959 is a prime.

It is a super-2 number, since 2×1610016961² = 5184309229415351042, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (1610016911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7219696 + ... + 7219918.

Almost surely, 2^1610016961 is an apocalyptic number.

It is an amenable number.

1610016961 is a deficient number, since it is larger than the sum of its proper divisors (357584703).

1610016961 is an frugal number, since it uses more digits than its factorization.

1610016961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

The square root of 1610016961 is about 40125.0166479716. The cubic root of 1610016961 is about 1172.0428335772.

The spelling of 1610016961 in words is "one billion, six hundred ten million, sixteen thousand, nine hundred sixty-one".