51522834090 has 384 divisors, whose sum is σ = 167086644480. Its totient is φ = 10044518400.

The previous prime is 51522834043. The next prime is 51522834101. The reversal of 51522834090 is 9043822515.

51522834090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51522834090² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14884960 + ... + 14888420.

It is an arithmetic number, because the mean of its divisors is an integer number (435121470).

Almost surely, 2^51522834090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51522834090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83543322240).

51522834090 is an abundant number, since it is smaller than the sum of its proper divisors (115563810390).

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

51522834090 is a wasteful number, since it uses less digits than its factorization.

51522834090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 51522834090 in words is "fifty-one billion, five hundred twenty-two million, eight hundred thirty-four thousand, ninety".