1051134311500 has 384 divisors, whose sum is σ = 2985430855680. Its totient is φ = 313963776000.

The previous prime is 1051134311473. The next prime is 1051134311501. The reversal of 1051134311500 is 51134311501.

It is a super-2 number, since 2×1051134311500² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1051134311501) 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 127 ways as a sum of consecutive naturals, for example, 242922337 + ... + 242926663.

It is an arithmetic number, because the mean of its divisors is an integer number (7774559520).

Almost surely, 2^{1051134311500} is an apocalyptic number.

1051134311500 is a gapful number since it is divisible by the number (10) 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 1051134311500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492715427840).

1051134311500 is an abundant number, since it is smaller than the sum of its proper divisors (1934296544180).

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

1051134311500 is a wasteful number, since it uses less digits than its factorization.

1051134311500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666 (or 4654 counting only the distinct ones).

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

Subtracting from 1051134311500 its reverse (51134311501), we obtain a palindrome (999999999999).

The spelling of 1051134311500 in words is "one trillion, fifty-one billion, one hundred thirty-four million, three hundred eleven thousand, five hundred".