61061510515500 has 768 divisors, whose sum is σ = 216942385121280. Its totient is φ = 14705915904000.

The previous prime is 61061510515493. The next prime is 61061510515507. The reversal of 61061510515500 is 551501516016.

It is a happy number.

61061510515500 is a `hidden beast` number, since 6 + 1 + 0 + 6 + 1 + 51 + 0 + 51 + 550 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61061510515493) and next prime (61061510515507).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (61061510515507) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 40898532754 + ... + 40898534246.

It is an arithmetic number, because the mean of its divisors is an integer number (282477063960).

Almost surely, 2^{61061510515500} is an apocalyptic number.

61061510515500 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 61061510515500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108471192560640).

61061510515500 is an abundant number, since it is smaller than the sum of its proper divisors (155880874605780).

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

61061510515500 is a wasteful number, since it uses less digits than its factorization.

61061510515500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 61061510515500 in words is "sixty-one trillion, sixty-one billion, five hundred ten million, five hundred fifteen thousand, five hundred".