1509680961 has 12 divisors (see below), whose sum is σ = 2181026640. Its totient is φ = 1006280280.

The previous prime is 1509680951. The next prime is 1509680981. The reversal of 1509680961 is 1690869051.

1509680961 is a `hidden beast` number, since 1 + 509 + 6 + 80 + 9 + 61 = 666.

It is not a de Polignac number, because 1509680961 - 2⁷ = 1509680833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1509680911) 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 11 ways as a sum of consecutive naturals, for example, 61630 + ... + 82568.

It is an arithmetic number, because the mean of its divisors is an integer number (181752220).

Almost surely, 2^1509680961 is an apocalyptic number.

It is an amenable number.

1509680961 is a deficient number, since it is larger than the sum of its proper divisors (671345679).

1509680961 is a wasteful number, since it uses less digits than its factorization.

1509680961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28956 (or 28953 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 1509680961 is about 38854.6131237978. The cubic root of 1509680961 is about 1147.1716154904.

The spelling of 1509680961 in words is "one billion, five hundred nine million, six hundred eighty thousand, nine hundred sixty-one".