61249825000 has 576 divisors, whose sum is σ = 188706672000. Its totient is φ = 18195840000.

The previous prime is 61249824989. The next prime is 61249825051. The reversal of 61249825000 is 52894216.

61249825000 is a nontrivial binomial coefficient, being equal to C(350000, 2).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 61249825000 = 820³ + 3930³ = 3018³ + 3232³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 561924946 + ... + 561925054.

It is an arithmetic number, because the mean of its divisors is an integer number (327615750).

Almost surely, 2^61249825000 is an apocalyptic number.

61249825000 is the 349999-th triangular number and also the 175000-th hexagonal number.

61249825000 is the 116667-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61249825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94353336000).

61249825000 is an abundant number, since it is smaller than the sum of its proper divisors (127456847000).

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

61249825000 is a wasteful number, since it uses less digits than its factorization.

61249825000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 61249825000 in words is "sixty-one billion, two hundred forty-nine million, eight hundred twenty-five thousand".