261356590 has 64 divisors (see below), whose sum is σ = 563811840. Its totient is φ = 86106240.

The previous prime is 261356587. The next prime is 261356593. The reversal of 261356590 is 95653162.

261356590 is digitally balanced in base 3, 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 (261356587) and next prime (261356593).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261356593) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45352 + ... + 50788.

It is an arithmetic number, because the mean of its divisors is an integer number (8809560).

Almost surely, 2^261356590 is an apocalyptic number.

261356590 is an abundant number, since it is smaller than the sum of its proper divisors (302455250).

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

261356590 is a wasteful number, since it uses less digits than its factorization.

261356590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5497.

The product of its (nonzero) digits is 48600, while the sum is 37.

The square root of 261356590 is about 16166.5268378833. The cubic root of 261356590 is about 639.3585614360.

The spelling of 261356590 in words is "two hundred sixty-one million, three hundred fifty-six thousand, five hundred ninety".