61506166512 has 120 divisors (see below), whose sum is σ = 185030288256. Its totient is φ = 17554368384.

The previous prime is 61506166511. The next prime is 61506166517. The reversal of 61506166512 is 21566160516.

61506166512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61506166512² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61506166511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2260863 + ... + 2287905.

Almost surely, 2^61506166512 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 61506166512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92515144128).

61506166512 is an abundant number, since it is smaller than the sum of its proper divisors (123524121744).

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

61506166512 is a wasteful number, since it uses less digits than its factorization.

61506166512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28035 (or 28022 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 61506166512 in words is "sixty-one billion, five hundred six million, one hundred sixty-six thousand, five hundred twelve".