261577010916 has 243 divisors, whose sum is σ = 734003173449. Its totient is φ = 78509006784.

The previous prime is 261577010911. The next prime is 261577011001. The reversal of 261577010916 is 619010775162.

The square root of 261577010916 is 511446.

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

261577010916 is a `hidden beast` number, since 2 + 61 + 577 + 0 + 1 + 0 + 9 + 16 = 666.

261577010916 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 38694824100 + 222882186816 = 196710^2 + 472104^2 .

It is not an unprimeable number, because it can be changed into a prime (261577010911) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3151530211 + ... + 3151530293.

Almost surely, 2^261577010916 is an apocalyptic number.

261577010916 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

261577010916 is the 511446-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261577010916

261577010916 is an abundant number, since it is smaller than the sum of its proper divisors (472426162533).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

261577010916 is a wasteful number, since it uses less digits than its factorization.

261577010916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 261577010916 in words is "two hundred sixty-one billion, five hundred seventy-seven million, ten thousand, nine hundred sixteen".