61513295805 has 192 divisors, whose sum is σ = 127319931648. Its totient is φ = 28222525440.

The previous prime is 61513295773. The next prime is 61513295807. The reversal of 61513295805 is 50859231516.

61513295805 is a `hidden beast` number, since 61 + 5 + 1 + 3 + 2 + 9 + 580 + 5 = 666.

It is not a de Polignac number, because 61513295805 - 2⁵ = 61513295773 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61513295807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28730035 + ... + 28732175.

It is an arithmetic number, because the mean of its divisors is an integer number (663124644).

Almost surely, 2^61513295805 is an apocalyptic number.

61513295805 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

61513295805 is an abundant number, since it is smaller than the sum of its proper divisors (65806635843).

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

61513295805 is a wasteful number, since it uses less digits than its factorization.

61513295805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 61513295805 in words is "sixty-one billion, five hundred thirteen million, two hundred ninety-five thousand, eight hundred five".