51501061600 has 72 divisors (see below), whose sum is σ = 125938033200. Its totient is φ = 20565841920.

The previous prime is 51501061589. The next prime is 51501061603. The reversal of 51501061600 is 616010515.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51501061603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 425464 + ... + 532936.

It is an arithmetic number, because the mean of its divisors is an integer number (1749139350).

Almost surely, 2^51501061600 is an apocalyptic number.

51501061600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51501061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62969016600).

51501061600 is an abundant number, since it is smaller than the sum of its proper divisors (74436971600).

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

51501061600 is a wasteful number, since it uses less digits than its factorization.

51501061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108092 (or 108079 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 51501061600 in words is "fifty-one billion, five hundred one million, sixty-one thousand, six hundred".