61505535 has 96 divisors (see below), whose sum is σ = 127092672. Its totient is φ = 25159680.

The previous prime is 61505513. The next prime is 61505551. The reversal of 61505535 is 53550516.

It is not a de Polignac number, because 61505535 - 2⁵ = 61505503 is a prime.

61505535 is a modest number, since divided by 5535 gives 615 as remainder.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 391677 + ... + 391833.

It is an arithmetic number, because the mean of its divisors is an integer number (1323882).

Almost surely, 2^61505535 is an apocalyptic number.

61505535 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

61505535 is an abundant number, since it is smaller than the sum of its proper divisors (65587137).

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

61505535 is a wasteful number, since it uses less digits than its factorization.

61505535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 30.

The square root of 61505535 is about 7842.5464614499. The cubic root of 61505535 is about 394.7341799633.

The spelling of 61505535 in words is "sixty-one million, five hundred five thousand, five hundred thirty-five".