1051532000064 has 840 divisors, whose sum is σ = 3920193002880. Its totient is φ = 276242835456.

The previous prime is 1051532000033. The next prime is 1051532000087. The reversal of 1051532000064 is 4600002351501.

It is a super-2 number, since 2×1051532000064² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1185492229 + ... + 1185493115.

It is an arithmetic number, because the mean of its divisors is an integer number (4666896432).

Almost surely, 2^{1051532000064} is an apocalyptic number.

1051532000064 is a gapful number since it is divisible by the number (14) 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 1051532000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960096501440).

1051532000064 is an abundant number, since it is smaller than the sum of its proper divisors (2868661002816).

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

1051532000064 is a wasteful number, since it uses less digits than its factorization.

1051532000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 1051532000064 its reverse (4600002351501), we get a palindrome (5651534351565).

The spelling of 1051532000064 in words is "one trillion, fifty-one billion, five hundred thirty-two million, sixty-four", and thus it is an aban number.