61542313506 has 48 divisors (see below), whose sum is σ = 134252504568. Its totient is φ = 20374099200.

The previous prime is 61542313501. The next prime is 61542313559. The reversal of 61542313506 is 60531324516.

61542313506 is a `hidden beast` number, since 61 + 542 + 3 + 1 + 3 + 50 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59199269481 + 2343044025 = 243309^2 + 48405^2 .

It is not an unprimeable number, because it can be changed into a prime (61542313501) 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, 9099166 + ... + 9105926.

Almost surely, 2^61542313506 is an apocalyptic number.

61542313506 is an abundant number, since it is smaller than the sum of its proper divisors (72710191062).

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

61542313506 is a wasteful number, since it uses less digits than its factorization.

61542313506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10147 (or 10144 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 61542313506 in words is "sixty-one billion, five hundred forty-two million, three hundred thirteen thousand, five hundred six".