61013526 has 64 divisors (see below), whose sum is σ = 148608000. Its totient is φ = 16661568.

The previous prime is 61013521. The next prime is 61013531. The reversal of 61013526 is 62531016.

It is an interprime number because it is at equal distance from previous prime (61013521) and next prime (61013531).

It is a junction number, because it is equal to n+sod(n) for n = 61013496 and 61013505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61013521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46690 + ... + 47978.

It is an arithmetic number, because the mean of its divisors is an integer number (2322000).

Almost surely, 2^61013526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61013526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74304000).

61013526 is an abundant number, since it is smaller than the sum of its proper divisors (87594474).

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

61013526 is a wasteful number, since it uses less digits than its factorization.

61013526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 61013526 is about 7811.1155413295. The cubic root of 61013526 is about 393.6788118216.

It can be divided in two parts, 6 and 1013526, that multiplied together give a square (6081156 = 2466²).

The spelling of 61013526 in words is "sixty-one million, thirteen thousand, five hundred twenty-six".