261562331274147 has 96 divisors (see below), whose sum is σ = 425172715269120. Its totient is φ = 154137994813440.

The previous prime is 261562331274059. The next prime is 261562331274151. The reversal of 261562331274147 is 741472133265162.

261562331274147 is a `hidden beast` number, since 2 + 6 + 1 + 5 + 623 + 3 + 1 + 2 + 7 + 4 + 1 + 4 + 7 = 666.

It is not a de Polignac number, because 261562331274147 - 2³² = 261558036306851 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 261562331274093 and 261562331274102.

It is not an unprimeable number, because it can be changed into a prime (261562331204147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1124945938 + ... + 1125178424.

It is an arithmetic number, because the mean of its divisors is an integer number (4428882450720).

Almost surely, 2^{261562331274147} is an apocalyptic number.

261562331274147 is a deficient number, since it is larger than the sum of its proper divisors (163610383994973).

261562331274147 is a wasteful number, since it uses less digits than its factorization.

261562331274147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239553 (or 239550 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 261562331274147 in words is "two hundred sixty-one trillion, five hundred sixty-two billion, three hundred thirty-one million, two hundred seventy-four thousand, one hundred forty-seven".