61003810032 has 160 divisors (see below), whose sum is σ = 175334492160. Its totient is φ = 18121824000.

The previous prime is 61003810003. The next prime is 61003810037. The reversal of 61003810032 is 23001830016.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 61003809984 and 61003810011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61003810037) 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, 6705807 + ... + 6714897.

It is an arithmetic number, because the mean of its divisors is an integer number (1095840576).

Almost surely, 2^61003810032 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 61003810032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87667246080).

61003810032 is an abundant number, since it is smaller than the sum of its proper divisors (114330682128).

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

61003810032 is a wasteful number, since it uses less digits than its factorization.

61003810032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9363 (or 9357 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 61003810032 in words is "sixty-one billion, three million, eight hundred ten thousand, thirty-two".