61566505217152 has 32 divisors (see below), whose sum is σ = 132086793047580. Its totient is φ = 28415310099456.

The previous prime is 61566505217149. The next prime is 61566505217201. The reversal of 61566505217152 is 25171250566516.

It can be written as a sum of positive squares in 2 ways, for example, as 48302166400576 + 13264338816576 = 6949976^2 + 3642024^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×61566505217152² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 61566505217152.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18499549183 + ... + 18499552510.

Almost surely, 2^{61566505217152} is an apocalyptic number.

It is an amenable number.

61566505217152 is an abundant number, since it is smaller than the sum of its proper divisors (70520287830428).

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

61566505217152 is a wasteful number, since it uses less digits than its factorization.

61566505217152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36999101720 (or 36999101708 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 52.

The spelling of 61566505217152 in words is "sixty-one trillion, five hundred sixty-six billion, five hundred five million, two hundred seventeen thousand, one hundred fifty-two".