61451000 has 128 divisors (see below), whose sum is σ = 161179200. Its totient is φ = 21772800.

The previous prime is 61450981. The next prime is 61451011. The reversal of 61451000 is 15416.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 61451000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376919 + ... + 377081.

Almost surely, 2^61451000 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 61451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80589600).

61451000 is an abundant number, since it is smaller than the sum of its proper divisors (99728200).

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

61451000 is a wasteful number, since it uses less digits than its factorization.

61451000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 61451000 is about 7839.0688222518. The cubic root of 61451000 is about 394.6174793877.

Adding to 61451000 its reverse (15416), we get a palindrome (61466416).

The spelling of 61451000 in words is "sixty-one million, four hundred fifty-one thousand".