1515791961 has 48 divisors (see below), whose sum is σ = 2423348928. Its totient is φ = 943488000.

The previous prime is 1515791939. The next prime is 1515791999. The reversal of 1515791961 is 1691975151.

It is a happy number.

1515791961 is a `hidden beast` number, since 1 + 5 + 1 + 579 + 19 + 61 = 666.

It is not a de Polignac number, because 1515791961 - 2⁹ = 1515791449 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1515791461) 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, 539761 + ... + 542561.

It is an arithmetic number, because the mean of its divisors is an integer number (50486436).

Almost surely, 2^1515791961 is an apocalyptic number.

It is an amenable number.

1515791961 is a deficient number, since it is larger than the sum of its proper divisors (907556967).

1515791961 is a wasteful number, since it uses less digits than its factorization.

1515791961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2952 counting only the distinct ones).

The product of its digits is 85050, while the sum is 45.

The square root of 1515791961 is about 38933.1730147955. The cubic root of 1515791961 is about 1148.7174007941.

The spelling of 1515791961 in words is "one billion, five hundred fifteen million, seven hundred ninety-one thousand, nine hundred sixty-one".