2961518625 has 64 divisors (see below), whose sum is σ = 5896800000. Its totient is φ = 1457956800.

The previous prime is 2961518537. The next prime is 2961518653. The reversal of 2961518625 is 5268151692.

2961518625 is a `hidden beast` number, since 2 + 9 + 6 + 1 + 5 + 18 + 625 = 666.

It is not a de Polignac number, because 2961518625 - 2³⁰ = 1887776801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Together with 2935281375 it forms an amicable pair .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10126 + ... + 77624.

It is an arithmetic number, because the mean of its divisors is an integer number (92137500).

Almost surely, 2^2961518625 is an apocalyptic number.

2961518625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2961518625 is a deficient number, since it is larger than the sum of its proper divisors (2935281375).

2961518625 is a wasteful number, since it uses less digits than its factorization.

2961518625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67536 (or 67520 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 2961518625 is about 54419.8366866348. The cubic root of 2961518625 is about 1436.0563755370.

The spelling of 2961518625 in words is "two billion, nine hundred sixty-one million, five hundred eighteen thousand, six hundred twenty-five".