61265538 has 64 divisors (see below), whose sum is σ = 144499200. Its totient is φ = 19187280.

The previous prime is 61265513. The next prime is 61265563. The reversal of 61265538 is 83556216.

61265538 is a `hidden beast` number, since 61 + 2 + 65 + 538 = 666.

61265538 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 (61265513) and next prime (61265563).

It is a super-2 number, since 2×61265538² = 7506932292858888, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216345 + ... + 216627.

It is an arithmetic number, because the mean of its divisors is an integer number (2257800).

Almost surely, 2^61265538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61265538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72249600).

61265538 is an abundant number, since it is smaller than the sum of its proper divisors (83233662).

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

61265538 is a wasteful number, since it uses less digits than its factorization.

61265538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 518 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 61265538 is about 7827.2305447074. The cubic root of 61265538 is about 394.2200879838.

It can be divided in two parts, 6126 and 5538, that added together give a square (11664 = 108²).

The spelling of 61265538 in words is "sixty-one million, two hundred sixty-five thousand, five hundred thirty-eight".