1981414515 has 16 divisors (see below), whose sum is σ = 3356749728. Its totient is φ = 994592256.

The previous prime is 1981414469. The next prime is 1981414529. The reversal of 1981414515 is 5154141891.

It is not a de Polignac number, because 1981414515 - 2⁶ = 1981414451 is a prime.

It is a super-3 number, since 3×1981414515³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3884872 + ... + 3885381.

It is an arithmetic number, because the mean of its divisors is an integer number (209796858).

Almost surely, 2^1981414515 is an apocalyptic number.

1981414515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1981414515 is a deficient number, since it is larger than the sum of its proper divisors (1375335213).

1981414515 is a wasteful number, since it uses less digits than its factorization.

1981414515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770278.

The product of its digits is 28800, while the sum is 39.

The square root of 1981414515 is about 44513.0825151438. The cubic root of 1981414515 is about 1256.0061908477.

The spelling of 1981414515 in words is "one billion, nine hundred eighty-one million, four hundred fourteen thousand, five hundred fifteen".