61295960250 has 448 divisors, whose sum is σ = 205264350720. Its totient is φ = 13394937600.

The previous prime is 61295960237. The next prime is 61295960269. The reversal of 61295960250 is 5206959216.

It is a happy number.

61295960250 is a `hidden beast` number, since 6 + 1 + 2 + 9 + 596 + 0 + 2 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 61295960196 and 61295960205.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 29341206 + ... + 29343294.

Almost surely, 2^61295960250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61295960250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102632175360).

61295960250 is an abundant number, since it is smaller than the sum of its proper divisors (143968390470).

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

61295960250 is a wasteful number, since it uses less digits than its factorization.

61295960250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2129 counting only the distinct ones).

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

The spelling of 61295960250 in words is "sixty-one billion, two hundred ninety-five million, nine hundred sixty thousand, two hundred fifty".