4261256046961 has 9 divisors (see below), whose sum is σ = 4270501304121. Its totient is φ = 4252030775172.

The previous prime is 4261256046881. The next prime is 4261256047051. The reversal of 4261256046961 is 1696406521624.

The square root of 4261256046961 is 2064281.

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

It is not a de Polignac number, because 4261256046961 - 2²¹ = 4261253949809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4261256046899 and 4261256046908.

It is not an unprimeable number, because it can be changed into a prime (4261256040961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1079616990 + ... + 1079620936.

Almost surely, 2^{4261256046961} is an apocalyptic number.

4261256046961 is the 2064281-st square number.

4261256046961 is the 1032141-st centered octagonal number.

It is an amenable number.

4261256046961 is a deficient number, since it is larger than the sum of its proper divisors (9245257160).

4261256046961 is an frugal number, since it uses more digits than its factorization.

4261256046961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8940 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 4261256046961 in words is "four trillion, two hundred sixty-one billion, two hundred fifty-six million, forty-six thousand, nine hundred sixty-one".