51282250656 has 864 divisors, whose sum is σ = 187559826048. Its totient is φ = 12134707200.

The previous prime is 51282250571. The next prime is 51282250661. The reversal of 51282250656 is 65605228215.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 507745006 + ... + 507745106.

It is an arithmetic number, because the mean of its divisors is an integer number (217083132).

Almost surely, 2^51282250656 is an apocalyptic number.

51282250656 is a gapful number since it is divisible by the number (56) 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 51282250656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93779913024).

51282250656 is an abundant number, since it is smaller than the sum of its proper divisors (136277575392).

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

51282250656 is a wasteful number, since it uses less digits than its factorization.

51282250656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 51282250656 in words is "fifty-one billion, two hundred eighty-two million, two hundred fifty thousand, six hundred fifty-six".