1961667519 has 24 divisors (see below), whose sum is σ = 3221566128. Its totient is φ = 1055013120.

The previous prime is 1961667497. The next prime is 1961667557. The reversal of 1961667519 is 9157661691.

It is not a de Polignac number, because 1961667519 - 2⁹ = 1961667007 is a prime.

It is a super-2 number, since 2×1961667519² = 7696278910199230722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1961667319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389992 + ... + 394989.

It is an arithmetic number, because the mean of its divisors is an integer number (134231922).

Almost surely, 2^1961667519 is an apocalyptic number.

1961667519 is a deficient number, since it is larger than the sum of its proper divisors (1259898609).

1961667519 is a wasteful number, since it uses less digits than its factorization.

1961667519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785015 (or 785008 counting only the distinct ones).

The product of its digits is 612360, while the sum is 51.

The square root of 1961667519 is about 44290.7159458955. The cubic root of 1961667519 is about 1251.8197535653.

The spelling of 1961667519 in words is "one billion, nine hundred sixty-one million, six hundred sixty-seven thousand, five hundred nineteen".