1351086516 has 144 divisors (see below), whose sum is σ = 3962649600. Its totient is φ = 384721920.

The previous prime is 1351086511. The next prime is 1351086551. The reversal of 1351086516 is 6156801531.

1351086516 is a `hidden beast` number, since 1 + 35 + 108 + 6 + 516 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351086511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331660 + ... + 335708.

It is an arithmetic number, because the mean of its divisors is an integer number (27518400).

Almost surely, 2^1351086516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351086516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981324800).

1351086516 is an abundant number, since it is smaller than the sum of its proper divisors (2611563084).

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

1351086516 is a wasteful number, since it uses less digits than its factorization.

1351086516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1351086516 is about 36757.1287779663. The cubic root of 1351086516 is about 1105.5058707629.

The spelling of 1351086516 in words is "one billion, three hundred fifty-one million, eighty-six thousand, five hundred sixteen".