61501506 has 64 divisors (see below), whose sum is σ = 138378240. Its totient is φ = 18066240.

The previous prime is 61501501. The next prime is 61501507. The reversal of 61501506 is 60510516.

It is not an unprimeable number, because it can be changed into a prime (61501501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 564180 + ... + 564288.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 2^61501506 is an apocalyptic number.

61501506 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61501506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69189120).

61501506 is an abundant number, since it is smaller than the sum of its proper divisors (76876734).

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

61501506 is a wasteful number, since it uses less digits than its factorization.

61501506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 61501506 is about 7842.2895891442. The cubic root of 61501506 is about 394.7255605833.

The spelling of 61501506 in words is "sixty-one million, five hundred one thousand, five hundred six".