61500512 has 48 divisors (see below), whose sum is σ = 125637120. Its totient is φ = 29611008.

The previous prime is 61500463. The next prime is 61500521. The reversal of 61500512 is 21500516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150164 + ... + 150572.

It is an arithmetic number, because the mean of its divisors is an integer number (2617440).

Almost surely, 2^61500512 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 61500512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62818560).

61500512 is an abundant number, since it is smaller than the sum of its proper divisors (64136608).

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

61500512 is a wasteful number, since it uses less digits than its factorization.

61500512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 61500512 is about 7842.2262145388. The cubic root of 61500512 is about 394.7234340266.

The spelling of 61500512 in words is "sixty-one million, five hundred thousand, five hundred twelve".