61251288 has 128 divisors (see below), whose sum is σ = 190464000. Its totient is φ = 16018560.

The previous prime is 61251287. The next prime is 61251299. The reversal of 61251288 is 88215216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61251287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98643 + ... + 99261.

It is an arithmetic number, because the mean of its divisors is an integer number (1488000).

Almost surely, 2^61251288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61251288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95232000).

61251288 is an abundant number, since it is smaller than the sum of its proper divisors (129212712).

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

61251288 is a wasteful number, since it uses less digits than its factorization.

61251288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 681 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 61251288 is about 7826.3202081182. The cubic root of 61251288 is about 394.1895211974.

The spelling of 61251288 in words is "sixty-one million, two hundred fifty-one thousand, two hundred eighty-eight".