2623385961 has 63 divisors (see below), whose sum is σ = 4592393613. Its totient is φ = 1493546040.

The previous prime is 2623385953. The next prime is 2623385977. The reversal of 2623385961 is 1695833262.

The square root of 2623385961 is 51219.

It is a perfect power (a square), and thus also a powerful number.

2623385961 is a `hidden beast` number, since 2 + 6 + 23 + 38 + 596 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 2623385961 - 2³ = 2623385953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2623385761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 9680256 + ... + 9680526.

Almost surely, 2^2623385961 is an apocalyptic number.

2623385961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2623385961 is the 51219-th square number.

2623385961 is the 25610-th centered octagonal number.

It is an amenable number.

2623385961 is a deficient number, since it is larger than the sum of its proper divisors (1969007652).

2623385961 is an frugal number, since it uses more digits than its factorization.

2623385961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 281 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The cubic root of 2623385961 is about 1379.1792993520.

The spelling of 2623385961 in words is "two billion, six hundred twenty-three million, three hundred eighty-five thousand, nine hundred sixty-one".