61295960205 has 48 divisors (see below), whose sum is σ = 106900634880. Its totient is φ = 32490460800.

The previous prime is 61295960153. The next prime is 61295960207. The reversal of 61295960205 is 50206959216.

It is a happy number.

61295960205 is a `hidden beast` number, since 612 + 9 + 5 + 9 + 6 + 0 + 20 + 5 = 666.

It is not a de Polignac number, because 61295960205 - 2¹³ = 61295952013 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 (61295960207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5128126 + ... + 5140064.

It is an arithmetic number, because the mean of its divisors is an integer number (2227096560).

Almost surely, 2^61295960205 is an apocalyptic number.

It is an amenable number.

61295960205 is a deficient number, since it is larger than the sum of its proper divisors (45604674675).

61295960205 is a wasteful number, since it uses less digits than its factorization.

61295960205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12642 (or 12639 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 61295960205 in words is "sixty-one billion, two hundred ninety-five million, nine hundred sixty thousand, two hundred five".