1051606310328 has 384 divisors, whose sum is σ = 3442681440000. Its totient is φ = 296539004160.

The previous prime is 1051606310323. The next prime is 1051606310399. The reversal of 1051606310328 is 8230136061501.

1051606310328 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 606 + 3 + 10 + 32 + 8 = 666.

It is a super-4 number, since 4×1051606310328⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1051606310292 and 1051606310301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051606310323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 257051563 + ... + 257055653.

It is an arithmetic number, because the mean of its divisors is an integer number (8965316250).

Almost surely, 2^{1051606310328} is an apocalyptic number.

1051606310328 is a gapful number since it is divisible by the number (18) 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 1051606310328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721340720000).

1051606310328 is an abundant number, since it is smaller than the sum of its proper divisors (2391075129672).

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

1051606310328 is a wasteful number, since it uses less digits than its factorization.

1051606310328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4432 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1051606310328 in words is "one trillion, fifty-one billion, six hundred six million, three hundred ten thousand, three hundred twenty-eight".