1285167961 has 64 divisors (see below), whose sum is σ = 1784217600. Its totient is φ = 895406400.

The previous prime is 1285167959. The next prime is 1285167967. The reversal of 1285167961 is 1697615821.

It is not a de Polignac number, because 1285167961 - 2¹ = 1285167959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1285167967) 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, 1949850 + ... + 1950508.

It is an arithmetic number, because the mean of its divisors is an integer number (27878400).

Almost surely, 2^1285167961 is an apocalyptic number.

1285167961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1285167961 is a deficient number, since it is larger than the sum of its proper divisors (499049639).

1285167961 is a wasteful number, since it uses less digits than its factorization.

1285167961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770.

The product of its digits is 181440, while the sum is 46.

The square root of 1285167961 is about 35849.2393364211. The cubic root of 1285167961 is about 1087.2263349088.

The spelling of 1285167961 in words is "one billion, two hundred eighty-five million, one hundred sixty-seven thousand, nine hundred sixty-one".