261262521 has 48 divisors (see below), whose sum is σ = 430597440. Its totient is φ = 151320960.

The previous prime is 261262499. The next prime is 261262541. The reversal of 261262521 is 125262162.

261262521 is a `hidden beast` number, since 2 + 6 + 12 + 625 + 21 = 666.

It is not a de Polignac number, because 261262521 - 2⁵ = 261262489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (261262541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468775 + ... + 469331.

It is an arithmetic number, because the mean of its divisors is an integer number (8970780).

Almost surely, 2^261262521 is an apocalyptic number.

It is an amenable number.

261262521 is a deficient number, since it is larger than the sum of its proper divisors (169334919).

261262521 is a wasteful number, since it uses less digits than its factorization.

261262521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 803 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 261262521 is about 16163.6172003670. The cubic root of 261262521 is about 639.2818450007.

The spelling of 261262521 in words is "two hundred sixty-one million, two hundred sixty-two thousand, five hundred twenty-one".