261525040 has 40 divisors (see below), whose sum is σ = 694910880. Its totient is φ = 89665536.

The previous prime is 261525037. The next prime is 261525041. The reversal of 261525040 is 40525162.

261525040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 261524996 and 261525014.

It is not an unprimeable number, because it can be changed into a prime (261525041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232945 + ... + 234064.

It is an arithmetic number, because the mean of its divisors is an integer number (17372772).

Almost surely, 2^261525040 is an apocalyptic number.

261525040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261525040 is an abundant number, since it is smaller than the sum of its proper divisors (433385840).

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

261525040 is a wasteful number, since it uses less digits than its factorization.

261525040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467029 (or 467023 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 261525040 is about 16171.7358375655. The cubic root of 261525040 is about 639.4958920968.

The spelling of 261525040 in words is "two hundred sixty-one million, five hundred twenty-five thousand, forty".