61011001560 has 128 divisors (see below), whose sum is σ = 189696556800. Its totient is φ = 15679372800.

The previous prime is 61011001553. The next prime is 61011001573. The reversal of 61011001560 is 6510011016.

It is a super-2 number, since 2×61011001560² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1887535 + ... + 1919585.

It is an arithmetic number, because the mean of its divisors is an integer number (1482004350).

Almost surely, 2^61011001560 is an apocalyptic number.

61011001560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61011001560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94848278400).

61011001560 is an abundant number, since it is smaller than the sum of its proper divisors (128685555240).

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

61011001560 is a wasteful number, since it uses less digits than its factorization.

61011001560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32641 (or 32637 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 61011001560 its reverse (6510011016), we get a palindrome (67521012576).

The spelling of 61011001560 in words is "sixty-one billion, eleven million, one thousand, five hundred sixty".