261262520 has 48 divisors (see below), whose sum is σ = 614559960. Its totient is φ = 99953216.

The previous prime is 261262499. The next prime is 261262541. The reversal of 261262520 is 25262162.

261262520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (261262499) and next prime (261262541).

It is a self number, because there is not a number n which added to its sum of digits gives 261262520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14987 + ... + 27333.

Almost surely, 2^261262520 is an apocalyptic number.

261262520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261262520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307279980).

261262520 is an abundant number, since it is smaller than the sum of its proper divisors (353297440).

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

261262520 is a wasteful number, since it uses less digits than its factorization.

261262520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12404 (or 12377 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 261262520 is about 16163.6171694333. The cubic root of 261262520 is about 639.2818441851.

The spelling of 261262520 in words is "two hundred sixty-one million, two hundred sixty-two thousand, five hundred twenty".