61513536 has 112 divisors (see below), whose sum is σ = 191186816. Its totient is φ = 17086464.

The previous prime is 61513513. The next prime is 61513537. The reversal of 61513536 is 63531516.

61513536 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 (112).

It is a super-2 number, since 2×61513536² = 7567830222446592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61513537) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 49110 + ... + 50346.

Almost surely, 2^61513536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61513536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95593408).

61513536 is an abundant number, since it is smaller than the sum of its proper divisors (129673280).

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

61513536 is a wasteful number, since it uses less digits than its factorization.

61513536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1286 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

The square root of 61513536 is about 7843.0565470357. The cubic root of 61513536 is about 394.7512956654.

The spelling of 61513536 in words is "sixty-one million, five hundred thirteen thousand, five hundred thirty-six".